406064400 has 120 divisors (see below), whose sum is σ = 1486613184. Its totient is φ = 92812800.

The previous prime is 406064387. The next prime is 406064413. The reversal of 406064400 is 4460604.

It is an interprime number because it is at equal distance from previous prime (406064387) and next prime (406064413).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15771 + ... + 32570.

Almost surely, 2^406064400 is an apocalyptic number.

406064400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406064400 is an abundant number, since it is smaller than the sum of its proper divisors (1080548784).

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

406064400 is a wasteful number, since it uses less digits than its factorization.

406064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48369 (or 48358 counting only the distinct ones).

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

The square root of 406064400 is about 20151.0396754113. The cubic root of 406064400 is about 740.5112123788.

The spelling of 406064400 in words is "four hundred six million, sixty-four thousand, four hundred".