1457065920 has 448 divisors, whose sum is σ = 5337169920. Its totient is φ = 334430208.

The previous prime is 1457065919. The next prime is 1457065931. The reversal of 1457065920 is 295607541.

It is a congruent number.

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, 11472897 + ... + 11473023.

Almost surely, 2^1457065920 is an apocalyptic number.

1457065920 is a gapful number since it is divisible by the number (10) 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 1457065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668584960).

1457065920 is an abundant number, since it is smaller than the sum of its proper divisors (3880104000).

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

1457065920 is a wasteful number, since it uses less digits than its factorization.

1457065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1457065920 is about 38171.5328484461. The cubic root of 1457065920 is about 1133.6867394595.

The spelling of 1457065920 in words is "one billion, four hundred fifty-seven million, sixty-five thousand, nine hundred twenty".