456152144 has 80 divisors (see below), whose sum is σ = 1035112320. Its totient is φ = 190702080.

The previous prime is 456152141. The next prime is 456152153. The reversal of 456152144 is 441251654.

It is a self number, because there is not a number n which added to its sum of digits gives 456152144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456152141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1222742 + ... + 1223114.

It is an arithmetic number, because the mean of its divisors is an integer number (12938904).

Almost surely, 2^456152144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517556160).

456152144 is an abundant number, since it is smaller than the sum of its proper divisors (578960176).

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

456152144 is a wasteful number, since it uses less digits than its factorization.

456152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 456152144 is about 21357.7186047574. The cubic root of 456152144 is about 769.7858200051.

The spelling of 456152144 in words is "four hundred fifty-six million, one hundred fifty-two thousand, one hundred forty-four".