1457460864 has 160 divisors (see below), whose sum is σ = 4593075300. Its totient is φ = 457187328.

The previous prime is 1457460853. The next prime is 1457460871. The reversal of 1457460864 is 4680647541.

1457460864 is a `hidden beast` number, since 14 + 574 + 6 + 0 + 8 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1239603264 + 217857600 = 35208^2 + 14760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172122 + ... + 180390.

Almost surely, 2^1457460864 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 1457460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296537650).

1457460864 is an abundant number, since it is smaller than the sum of its proper divisors (3135614436).

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

1457460864 is an equidigital number, since it uses as much as digits as its factorization.

1457460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1457460864 is about 38176.7057772145. The cubic root of 1457460864 is about 1133.7891604324.

The spelling of 1457460864 in words is "one billion, four hundred fifty-seven million, four hundred sixty thousand, eight hundred sixty-four".