465233760 has 96 divisors (see below), whose sum is σ = 1628333280. Its totient is φ = 124061184.

The previous prime is 465233759. The next prime is 465233767. The reversal of 465233760 is 67332564.

465233760 is a `hidden beast` number, since 46 + 523 + 37 + 60 = 666.

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

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465233767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49527 + ... + 58166.

It is an arithmetic number, because the mean of its divisors is an integer number (16961805).

Almost surely, 2^465233760 is an apocalyptic number.

465233760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465233760 is an abundant number, since it is smaller than the sum of its proper divisors (1163099520).

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

465233760 is a wasteful number, since it uses less digits than its factorization.

465233760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107717 (or 107703 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 465233760 is about 21569.2781520384. The cubic root of 465233760 is about 774.8608893568.

The spelling of 465233760 in words is "four hundred sixty-five million, two hundred thirty-three thousand, seven hundred sixty".