354816504 has 128 divisors (see below), whose sum is σ = 1145164800. Its totient is φ = 99688320.

The previous prime is 354816481. The next prime is 354816529. The reversal of 354816504 is 405618453.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90309 + ... + 94155.

It is an arithmetic number, because the mean of its divisors is an integer number (8946600).

Almost surely, 2^354816504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354816504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572582400).

354816504 is an abundant number, since it is smaller than the sum of its proper divisors (790348296).

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

354816504 is a wasteful number, since it uses less digits than its factorization.

354816504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 354816504 is about 18836.5735737687. The cubic root of 354816504 is about 707.9478559701.

The spelling of 354816504 in words is "three hundred fifty-four million, eight hundred sixteen thousand, five hundred four".