1457283520 has 448 divisors, whose sum is σ = 4740249600. Its totient is φ = 421478400.

The previous prime is 1457283511. The next prime is 1457283589. The reversal of 1457283520 is 253827541.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1457283520.

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, 20525085 + ... + 20525155.

Almost surely, 2^1457283520 is an apocalyptic number.

1457283520 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 1457283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370124800).

1457283520 is an abundant number, since it is smaller than the sum of its proper divisors (3282966080).

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

1457283520 is a wasteful number, since it uses less digits than its factorization.

1457283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 1457283520 is about 38174.3830336523. The cubic root of 1457283520 is about 1133.7431720367.

The spelling of 1457283520 in words is "one billion, four hundred fifty-seven million, two hundred eighty-three thousand, five hundred twenty".