353670480 has 120 divisors (see below), whose sum is σ = 1191638760. Its totient is φ = 94003200.

The previous prime is 353670479. The next prime is 353670481. The reversal of 353670480 is 84076353.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (353670479) and next prime (353670481).

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 340623936 = 3612^2 + 18456^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353670481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293880 + ... + 295080.

It is an arithmetic number, because the mean of its divisors is an integer number (9930323).

Almost surely, 2^353670480 is an apocalyptic number.

353670480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595819380).

353670480 is an abundant number, since it is smaller than the sum of its proper divisors (837968280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353670480 is a wasteful number, since it uses less digits than its factorization.

353670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 353670480 is about 18806.1287882435. The cubic root of 353670480 is about 707.1848321754.

The spelling of 353670480 in words is "three hundred fifty-three million, six hundred seventy thousand, four hundred eighty".