456691752 has 288 divisors, whose sum is σ = 1493856000. Its totient is φ = 125452800.

The previous prime is 456691751. The next prime is 456691759. The reversal of 456691752 is 257196654.

It is a junction number, because it is equal to n+sod(n) for n = 456691698 and 456691707.

It is not an unprimeable number, because it can be changed into a prime (456691751) 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 71 ways as a sum of consecutive naturals, for example, 5131324 + ... + 5131412.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^456691752 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 456691752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

456691752 is an abundant number, since it is smaller than the sum of its proper divisors (1037164248).

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

456691752 is a wasteful number, since it uses less digits than its factorization.

456691752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 456691752 is about 21370.3474936651. The cubic root of 456691752 is about 770.0892413574.

The spelling of 456691752 in words is "four hundred fifty-six million, six hundred ninety-one thousand, seven hundred fifty-two".