400464600 has 48 divisors (see below), whose sum is σ = 1241442120. Its totient is φ = 106790400.

The previous prime is 400464593. The next prime is 400464601. The reversal of 400464600 is 6464004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400464601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333121 + ... + 334320.

Almost surely, 2^400464600 is an apocalyptic number.

400464600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400464600 is an abundant number, since it is smaller than the sum of its proper divisors (840977520).

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

400464600 is a wasteful number, since it uses less digits than its factorization.

400464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667460 (or 667451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 400464600 is about 20011.6116292517. The cubic root of 400464600 is about 737.0914561925.

The spelling of 400464600 in words is "four hundred million, four hundred sixty-four thousand, six hundred".