406362924 has 54 divisors (see below), whose sum is σ = 1121683836. Its totient is φ = 123018720.

The previous prime is 406362841. The next prime is 406362941. The reversal of 406362924 is 429263604.

406362924 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 629 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400642 + ... + 401654.

Almost surely, 2^406362924 is an apocalyptic number.

406362924 is a gapful number since it is divisible by the number (44) 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 406362924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560841918).

406362924 is an abundant number, since it is smaller than the sum of its proper divisors (715320912).

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

406362924 is a wasteful number, since it uses less digits than its factorization.

406362924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 406362924 is about 20158.4454757801. The cubic root of 406362924 is about 740.6926336996.

The spelling of 406362924 in words is "four hundred six million, three hundred sixty-two thousand, nine hundred twenty-four".