406656400 has 30 divisors (see below), whose sum is σ = 976992962. Its totient is φ = 162662400.

The previous prime is 406656391. The next prime is 406656407. The reversal of 406656400 is 4656604.

It can be written as a sum of positive squares in 3 ways, for example, as 98724096 + 307932304 = 9936^2 + 17548^2 .

It is not an unprimeable number, because it can be changed into a prime (406656407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 507921 + ... + 508720.

Almost surely, 2^406656400 is an apocalyptic number.

406656400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406656400 is an abundant number, since it is smaller than the sum of its proper divisors (570336562).

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

406656400 is a wasteful number, since it uses less digits than its factorization.

406656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016659 (or 1016648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 406656400 is about 20165.7233939177. The cubic root of 406656400 is about 740.8709006213.

The spelling of 406656400 in words is "four hundred six million, six hundred fifty-six thousand, four hundred".