40468608 has 48 divisors (see below), whose sum is σ = 116455950. Its totient is φ = 13489152.

The previous prime is 40468583. The next prime is 40468621. The reversal of 40468608 is 80686404.

40468608 is a `hidden beast` number, since 4 + 0 + 46 + 8 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39841344 + 627264 = 6312^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16413 + ... + 18716.

Almost surely, 2^40468608 is an apocalyptic number.

40468608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40468608 is an abundant number, since it is smaller than the sum of its proper divisors (75987342).

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

40468608 is a wasteful number, since it uses less digits than its factorization.

40468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35149 (or 35134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40468608 is about 6361.4941641096. The cubic root of 40468608 is about 343.3255217586.

The spelling of 40468608 in words is "forty million, four hundred sixty-eight thousand, six hundred eight".