1457795520 has 168 divisors, whose sum is σ = 5278313040. Its totient is φ = 368271360.

The previous prime is 1457795459. The next prime is 1457795533. The reversal of 1457795520 is 255977541.

1457795520 is a `hidden beast` number, since 1 + 4 + 57 + 79 + 5 + 520 = 666.

It is a super-3 number, since 3×1457795520³ (a number of 28 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41400 + ... + 68040.

It is an arithmetic number, because the mean of its divisors is an integer number (31418530).

Almost surely, 2^1457795520 is an apocalyptic number.

1457795520 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 1457795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639156520).

1457795520 is an abundant number, since it is smaller than the sum of its proper divisors (3820517520).

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

1457795520 is a wasteful number, since it uses less digits than its factorization.

1457795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26683 (or 26670 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 1457795520 is about 38181.0885125084. The cubic root of 1457795520 is about 1133.8759324154.

The spelling of 1457795520 in words is "one billion, four hundred fifty-seven million, seven hundred ninety-five thousand, five hundred twenty".