456744960 has 448 divisors, whose sum is σ = 1887321600. Its totient is φ = 102629376.

The previous prime is 456744947. The next prime is 456744991. The reversal of 456744960 is 69447654.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741411 + ... + 7741469.

Almost surely, 2^456744960 is an apocalyptic number.

456744960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943660800).

456744960 is an abundant number, since it is smaller than the sum of its proper divisors (1430576640).

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

456744960 is an equidigital number, since it uses as much as digits as its factorization.

456744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 456744960 is about 21371.5923599530. The cubic root of 456744960 is about 770.1191472454.

The spelling of 456744960 in words is "four hundred fifty-six million, seven hundred forty-four thousand, nine hundred sixty".