354857472 has 120 divisors (see below), whose sum is σ = 1044184284. Its totient is φ = 115974144.

The previous prime is 354857449. The next prime is 354857483. The reversal of 354857472 is 274758453.

354857472 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 574 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 61214976 = 17136^2 + 7824^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243498 + ... + 244950.

Almost surely, 2^354857472 is an apocalyptic number.

354857472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522092142).

354857472 is an abundant number, since it is smaller than the sum of its proper divisors (689326812).

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

354857472 is a wasteful number, since it uses less digits than its factorization.

354857472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1511 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 354857472 is about 18837.6610013027. The cubic root of 354857472 is about 707.9751020642.

The spelling of 354857472 in words is "three hundred fifty-four million, eight hundred fifty-seven thousand, four hundred seventy-two".