407466765 has 24 divisors (see below), whose sum is σ = 707338008. Its totient is φ = 216988800.

The previous prime is 407466751. The next prime is 407466793. The reversal of 407466765 is 567664704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110628324 + 296838441 = 10518^2 + 17229^2 .

It is not a de Polignac number, because 407466765 - 2⁴ = 407466749 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 407466765.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25087 + ... + 38003.

It is an arithmetic number, because the mean of its divisors is an integer number (29472417).

Almost surely, 2^407466765 is an apocalyptic number.

407466765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407466765 is a deficient number, since it is larger than the sum of its proper divisors (299871243).

407466765 is a wasteful number, since it uses less digits than its factorization.

407466765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629 (or 13626 counting only the distinct ones).

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

The square root of 407466765 is about 20185.8060279990. The cubic root of 407466765 is about 741.3626978638.

The spelling of 407466765 in words is "four hundred seven million, four hundred sixty-six thousand, seven hundred sixty-five".