1457711460 has 72 divisors (see below), whose sum is σ = 4424958720. Its totient is φ = 388438848.

The previous prime is 1457711447. The next prime is 1457711471. The reversal of 1457711460 is 641177541.

1457711460 is a `hidden beast` number, since 14 + 577 + 1 + 14 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383851 + ... + 387629.

It is an arithmetic number, because the mean of its divisors is an integer number (61457760).

Almost surely, 2^1457711460 is an apocalyptic number.

1457711460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457711460 is an abundant number, since it is smaller than the sum of its proper divisors (2967247260).

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

1457711460 is a wasteful number, since it uses less digits than its factorization.

1457711460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1457711460 is about 38179.9876898880. The cubic root of 1457711460 is about 1133.8541379910.

The spelling of 1457711460 in words is "one billion, four hundred fifty-seven million, seven hundred eleven thousand, four hundred sixty".