354429504 has 252 divisors, whose sum is σ = 1203697872. Its totient is φ = 98841600.

The previous prime is 354429499. The next prime is 354429529. The reversal of 354429504 is 405924453.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070619 + ... + 1070949.

Almost surely, 2^354429504 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 354429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601848936).

354429504 is an abundant number, since it is smaller than the sum of its proper divisors (849268368).

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

354429504 is a wasteful number, since it uses less digits than its factorization.

354429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 354429504 is about 18826.2982022489. The cubic root of 354429504 is about 707.6903750032.

The spelling of 354429504 in words is "three hundred fifty-four million, four hundred twenty-nine thousand, five hundred four".