406364640 has 96 divisors (see below), whose sum is σ = 1396434816. Its totient is φ = 98511360.

The previous prime is 406364627. The next prime is 406364657. The reversal of 406364640 is 46463604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33202 + ... + 43761.

It is an arithmetic number, because the mean of its divisors is an integer number (14546196).

Almost surely, 2^406364640 is an apocalyptic number.

406364640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406364640 is an abundant number, since it is smaller than the sum of its proper divisors (990070176).

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

406364640 is a wasteful number, since it uses less digits than its factorization.

406364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76992 (or 76984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 406364640 is about 20158.4880385410. The cubic root of 406364640 is about 740.6936763036.

The spelling of 406364640 in words is "four hundred six million, three hundred sixty-four thousand, six hundred forty".