354835404 has 216 divisors, whose sum is σ = 1171183104. Its totient is φ = 91951200.

The previous prime is 354835399. The next prime is 354835457. The reversal of 354835404 is 404538453.

354835404 is a `hidden beast` number, since 35 + 4 + 83 + 540 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 823069 + ... + 823499.

It is an arithmetic number, because the mean of its divisors is an integer number (5422144).

Almost surely, 2^354835404 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 354835404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

354835404 is an abundant number, since it is smaller than the sum of its proper divisors (816347700).

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

354835404 is a wasteful number, since it uses less digits than its factorization.

354835404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 354835404 is about 18837.0752506858. The cubic root of 354835404 is about 707.9604258259.

The spelling of 354835404 in words is "three hundred fifty-four million, eight hundred thirty-five thousand, four hundred four".