405947132304 has 160 divisors (see below), whose sum is σ = 1279834275840. Its totient is φ = 108372902400.

The previous prime is 405947132263. The next prime is 405947132323. The reversal of 405947132304 is 403231749504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369892 + ... + 974019.

It is an arithmetic number, because the mean of its divisors is an integer number (7998964224).

Almost surely, 2^405947132304 is an apocalyptic number.

It is an amenable number.

405947132304 is an abundant number, since it is smaller than the sum of its proper divisors (873887143536).

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

405947132304 is a wasteful number, since it uses less digits than its factorization.

405947132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343989 (or 1343983 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 405947132304 in words is "four hundred five billion, nine hundred forty-seven million, one hundred thirty-two thousand, three hundred four".