468400040 has 32 divisors (see below), whose sum is σ = 1059804000. Its totient is φ = 186310464.

The previous prime is 468400039. The next prime is 468400067. The reversal of 468400040 is 40004864.

It is a junction number, because it is equal to n+sod(n) for n = 468399982 and 468400009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550 + ... + 39869.

It is an arithmetic number, because the mean of its divisors is an integer number (33118875).

Almost surely, 2^468400040 is an apocalyptic number.

468400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468400040 is an abundant number, since it is smaller than the sum of its proper divisors (591403960).

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

468400040 is a wasteful number, since it uses less digits than its factorization.

468400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65609 (or 65605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 468400040 is about 21642.5516055755. The cubic root of 468400040 is about 776.6147615440.

The spelling of 468400040 in words is "four hundred sixty-eight million, four hundred thousand, forty".