405252864 has 54 divisors (see below), whose sum is σ = 1168450556. Its totient is φ = 135083520.

The previous prime is 405252853. The next prime is 405252889. The reversal of 405252864 is 468252504.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85642 + ... + 90249.

Almost surely, 2^405252864 is an apocalyptic number.

It is an amenable number.

405252864 is an abundant number, since it is smaller than the sum of its proper divisors (763197692).

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

405252864 is a wasteful number, since it uses less digits than its factorization.

405252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175913 (or 175896 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 405252864 is about 20130.8932737720. The cubic root of 405252864 is about 740.0175695853.

The spelling of 405252864 in words is "four hundred five million, two hundred fifty-two thousand, eight hundred sixty-four".