456954752 has 32 divisors (see below), whose sum is σ = 915833520. Its totient is φ = 227098624.

The previous prime is 456954739. The next prime is 456954803. The reversal of 456954752 is 257459654.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 456954697 and 456954706.

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 3 ways as a sum of consecutive naturals, for example, 10688 + ... + 32064.

Almost surely, 2^456954752 is an apocalyptic number.

It is a pronic number, being equal to 21376×21377.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457916760).

456954752 is an abundant number, since it is smaller than the sum of its proper divisors (458878768).

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

456954752 is a wasteful number, since it uses less digits than its factorization.

456954752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21558 (or 21546 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 47.

The square root of 456954752 is about 21376.4999941525. The cubic root of 456954752 is about 770.2370395193.

The spelling of 456954752 in words is "four hundred fifty-six million, nine hundred fifty-four thousand, seven hundred fifty-two".