353214480 has 80 divisors (see below), whose sum is σ = 1101804480. Its totient is φ = 93602304.

The previous prime is 353214443. The next prime is 353214481. The reversal of 353214480 is 84412353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (353214481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34606 + ... + 43634.

It is an arithmetic number, because the mean of its divisors is an integer number (13772556).

Almost surely, 2^353214480 is an apocalyptic number.

353214480 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 353214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550902240).

353214480 is an abundant number, since it is smaller than the sum of its proper divisors (748590000).

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

353214480 is a wasteful number, since it uses less digits than its factorization.

353214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 353214480 is about 18794.0011705863. The cubic root of 353214480 is about 706.8807685583.

The spelling of 353214480 in words is "three hundred fifty-three million, two hundred fourteen thousand, four hundred eighty".