354636480 has 336 divisors, whose sum is σ = 1284256512. Its totient is φ = 82790400.

The previous prime is 354636449. The next prime is 354636481. The reversal of 354636480 is 84636453.

354636480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (354636481) 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 47 ways as a sum of consecutive naturals, for example, 4994845 + ... + 4994915.

It is an arithmetic number, because the mean of its divisors is an integer number (3822192).

Almost surely, 2^354636480 is an apocalyptic number.

354636480 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 354636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642128256).

354636480 is an abundant number, since it is smaller than the sum of its proper divisors (929620032).

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

354636480 is a wasteful number, since it uses less digits than its factorization.

354636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 354636480 is about 18831.7943914009. The cubic root of 354636480 is about 707.8281047147.

The spelling of 354636480 in words is "three hundred fifty-four million, six hundred thirty-six thousand, four hundred eighty".