40352800 has 36 divisors (see below), whose sum is σ = 98513226. Its totient is φ = 16140800.

The previous prime is 40352797. The next prime is 40352801. The reversal of 40352800 is 825304.

It can be written as a sum of positive squares in 3 ways, for example, as 36336784 + 4016016 = 6028^2 + 2004^2 .

It is not an unprimeable number, because it can be changed into a prime (40352801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24421 + ... + 26020.

Almost surely, 2^40352800 is an apocalyptic number.

40352800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40352800 is an abundant number, since it is smaller than the sum of its proper divisors (58160426).

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

40352800 is a wasteful number, since it uses less digits than its factorization.

40352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50461 (or 50448 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 40352800 is about 6352.3853787377. The cubic root of 40352800 is about 342.9977135225.

The spelling of 40352800 in words is "forty million, three hundred fifty-two thousand, eight hundred".