354825264 has 80 divisors (see below), whose sum is σ = 946452320. Its totient is φ = 114462720.

The previous prime is 354825259. The next prime is 354825271. The reversal of 354825264 is 462528453.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 427602 + ... + 428430.

It is an arithmetic number, because the mean of its divisors is an integer number (11830654).

Almost surely, 2^354825264 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 354825264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473226160).

354825264 is an abundant number, since it is smaller than the sum of its proper divisors (591627056).

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

354825264 is a wasteful number, since it uses less digits than its factorization.

354825264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 354825264 is about 18836.8060986994. The cubic root of 354825264 is about 707.9536820540.

The spelling of 354825264 in words is "three hundred fifty-four million, eight hundred twenty-five thousand, two hundred sixty-four".