40408920 has 48 divisors (see below), whose sum is σ = 131330160. Its totient is φ = 10775616.

The previous prime is 40408889. The next prime is 40408933. The reversal of 40408920 is 2980404.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 55764 + ... + 56483.

It is an arithmetic number, because the mean of its divisors is an integer number (2736045).

Almost surely, 2^40408920 is an apocalyptic number.

40408920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40408920 is an abundant number, since it is smaller than the sum of its proper divisors (90921240).

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

40408920 is a wasteful number, since it uses less digits than its factorization.

40408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112264 (or 112257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40408920 is about 6356.8010823055. The cubic root of 40408920 is about 343.1566460306.

It can be divided in two parts, 40408 and 920, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 40408920 in words is "forty million, four hundred eight thousand, nine hundred twenty".