406862800 has 30 divisors (see below), whose sum is σ = 977488838. Its totient is φ = 162744960.

The previous prime is 406862777. The next prime is 406862809. The reversal of 406862800 is 8268604.

It can be written as a sum of positive squares in 3 ways, for example, as 44036496 + 362826304 = 6636^2 + 19048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406862809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 508179 + ... + 508978.

Almost surely, 2^406862800 is an apocalyptic number.

406862800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406862800 is an abundant number, since it is smaller than the sum of its proper divisors (570626038).

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

406862800 is a wasteful number, since it uses less digits than its factorization.

406862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017175 (or 1017164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 406862800 is about 20170.8403394603. The cubic root of 406862800 is about 740.9962233673.

The spelling of 406862800 in words is "four hundred six million, eight hundred sixty-two thousand, eight hundred".