40292960 has 24 divisors (see below), whose sum is σ = 95192496. Its totient is φ = 16117120.

The previous prime is 40292957. The next prime is 40292971. The reversal of 40292960 is 6929204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125756 + ... + 126075.

It is an arithmetic number, because the mean of its divisors is an integer number (3966354).

Almost surely, 2^40292960 is an apocalyptic number.

40292960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40292960 is an abundant number, since it is smaller than the sum of its proper divisors (54899536).

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

40292960 is a wasteful number, since it uses less digits than its factorization.

40292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251846 (or 251838 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 40292960 is about 6347.6735895917. The cubic root of 40292960 is about 342.8280835159.

The spelling of 40292960 in words is "forty million, two hundred ninety-two thousand, nine hundred sixty".