40576900 has 135 divisors (see below), whose sum is σ = 111230511. Its totient is φ = 12841920.

The previous prime is 40576897. The next prime is 40576919. The reversal of 40576900 is 967504.

The square root of 40576900 is 6370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 30118144 = 3234^2 + 5488^2 .

It is a super-2 number, since 2×40576900² = 3292969627220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3121294 + ... + 3121306.

Almost surely, 2^40576900 is an apocalyptic number.

40576900 is the 6370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40576900

40576900 is an abundant number, since it is smaller than the sum of its proper divisors (70653611).

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

40576900 is a wasteful number, since it uses less digits than its factorization.

40576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 40576900 is about 343.6314897259.

The spelling of 40576900 in words is "forty million, five hundred seventy-six thousand, nine hundred".