1457675520 has 432 divisors, whose sum is σ = 5547644928. Its totient is φ = 325140480.

The previous prime is 1457675509. The next prime is 1457675537. The reversal of 1457675520 is 255767541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 11477697 + ... + 11477823.

Almost surely, 2^1457675520 is an apocalyptic number.

1457675520 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 1457675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773822464).

1457675520 is an abundant number, since it is smaller than the sum of its proper divisors (4089969408).

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

1457675520 is a wasteful number, since it uses less digits than its factorization.

1457675520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 1457675520 is about 38179.5170215654. The cubic root of 1457675520 is about 1133.8448194910.

The spelling of 1457675520 in words is "one billion, four hundred fifty-seven million, six hundred seventy-five thousand, five hundred twenty".