406624400 has 120 divisors (see below), whose sum is σ = 1202464704. Its totient is φ = 128678400.

The previous prime is 406624397. The next prime is 406624403. The reversal of 406624400 is 4426604.

It is an interprime number because it is at equal distance from previous prime (406624397) and next prime (406624403).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 406624400.

It is not an unprimeable number, because it can be changed into a prime (406624403) 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 23 ways as a sum of consecutive naturals, for example, 30815 + ... + 41985.

Almost surely, 2^406624400 is an apocalyptic number.

406624400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601232352).

406624400 is an abundant number, since it is smaller than the sum of its proper divisors (795840304).

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

406624400 is a wasteful number, since it uses less digits than its factorization.

406624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 406624400 is about 20164.9299527670. The cubic root of 406624400 is about 740.8514669416.

The spelling of 406624400 in words is "four hundred six million, six hundred twenty-four thousand, four hundred".