456954750 has 256 divisors, whose sum is σ = 1527552000. Its totient is φ = 98755200.

The previous prime is 456954739. The next prime is 456954803. The reversal of 456954750 is 57459654.

456954750 is a `hidden beast` number, since 4 + 56 + 9 + 547 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 456954696 and 456954705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 897496 + ... + 898004.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^456954750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456954750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

456954750 is an abundant number, since it is smaller than the sum of its proper divisors (1070597250).

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

456954750 is a wasteful number, since it uses less digits than its factorization.

456954750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 456954750 is about 21376.4999473721. The cubic root of 456954750 is about 770.2370383956.

It can be divided in two parts, 4569 and 54750, that added together give a cube (59319 = 39³).

The spelling of 456954750 in words is "four hundred fifty-six million, nine hundred fifty-four thousand, seven hundred fifty".