40492960 has 24 divisors (see below), whose sum is σ = 95664996. Its totient is φ = 16197120.

The previous prime is 40492957. The next prime is 40492967. The reversal of 40492960 is 6929404.

It can be written as a sum of positive squares in 2 ways, for example, as 34904464 + 5588496 = 5908^2 + 2364^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40492967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126381 + ... + 126700.

Almost surely, 2^40492960 is an apocalyptic number.

40492960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40492960 is an abundant number, since it is smaller than the sum of its proper divisors (55172036).

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

40492960 is a wasteful number, since it uses less digits than its factorization.

40492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253096 (or 253088 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 40492960 is about 6363.4078920025. The cubic root of 40492960 is about 343.3943733703.

The spelling of 40492960 in words is "forty million, four hundred ninety-two thousand, nine hundred sixty".