407664765 has 32 divisors (see below), whose sum is σ = 756253440. Its totient is φ = 207966528.

The previous prime is 407664731. The next prime is 407664791. The reversal of 407664765 is 567466704.

It is a happy number.

It is not a de Polignac number, because 407664765 - 2¹⁸ = 407402621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 407664765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62542 + ... + 68751.

It is an arithmetic number, because the mean of its divisors is an integer number (23632920).

Almost surely, 2^407664765 is an apocalyptic number.

407664765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407664765 is a deficient number, since it is larger than the sum of its proper divisors (348588675).

407664765 is a wasteful number, since it uses less digits than its factorization.

407664765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131330 (or 131324 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 407664765 is about 20190.7098686500. The cubic root of 407664765 is about 741.4827616798.

The spelling of 407664765 in words is "four hundred seven million, six hundred sixty-four thousand, seven hundred sixty-five".