354803904 has 252 divisors, whose sum is σ = 1275338064. Its totient is φ = 93477888.

The previous prime is 354803881. The next prime is 354803909. The reversal of 354803904 is 409308453.

354803904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (354803909) 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 35 ways as a sum of consecutive naturals, for example, 366429 + ... + 367395.

Almost surely, 2^354803904 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 354803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637669032).

354803904 is an abundant number, since it is smaller than the sum of its proper divisors (920534160).

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

354803904 is a wasteful number, since it uses less digits than its factorization.

354803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 354803904 is about 18836.2391150675. The cubic root of 354803904 is about 707.9394758182.

The spelling of 354803904 in words is "three hundred fifty-four million, eight hundred three thousand, nine hundred four".