1457313984 has 448 divisors, whose sum is σ = 5471769600. Its totient is φ = 370262016.

The previous prime is 1457313961. The next prime is 1457313997. The reversal of 1457313984 is 4893137541.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906822 + ... + 3907194.

Almost surely, 2^1457313984 is an apocalyptic number.

1457313984 is a gapful number since it is divisible by the number (14) 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 1457313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735884800).

1457313984 is an abundant number, since it is smaller than the sum of its proper divisors (4014455616).

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

1457313984 is a wasteful number, since it uses less digits than its factorization.

1457313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1457313984 is about 38174.7820425998. The cubic root of 1457313984 is about 1133.7510721492.

The spelling of 1457313984 in words is "one billion, four hundred fifty-seven million, three hundred thirteen thousand, nine hundred eighty-four".