465123456 has 96 divisors (see below), whose sum is σ = 1529673600. Its totient is φ = 132890112.

The previous prime is 465123443. The next prime is 465123469. The reversal of 465123456 is 654321564.

It is an interprime number because it is at equal distance from previous prime (465123443) and next prime (465123469).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 465123456.

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 11 ways as a sum of consecutive naturals, for example, 20776 + ... + 36903.

It is an arithmetic number, because the mean of its divisors is an integer number (15934100).

Almost surely, 2^465123456 is an apocalyptic number.

It is an amenable number.

465123456 is an abundant number, since it is smaller than the sum of its proper divisors (1064550144).

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

465123456 is a wasteful number, since it uses less digits than its factorization.

465123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57706 (or 57691 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 465123456 is about 21566.7210303282. The cubic root of 465123456 is about 774.7996463011.

The spelling of 465123456 in words is "four hundred sixty-five million, one hundred twenty-three thousand, four hundred fifty-six".