1457520896 has 108 divisors (see below), whose sum is σ = 3209366160. Its totient is φ = 660142080.

The previous prime is 1457520887. The next prime is 1457520899. The reversal of 1457520896 is 6980257541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1457520896.

It is not an unprimeable number, because it can be changed into a prime (1457520899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552291 + ... + 2552861.

Almost surely, 2^1457520896 is an apocalyptic number.

1457520896 is a gapful number since it is divisible by the number (16) 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 1457520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604683080).

1457520896 is an abundant number, since it is smaller than the sum of its proper divisors (1751845264).

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

1457520896 is an equidigital number, since it uses as much as digits as its factorization.

1457520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The square root of 1457520896 is about 38177.4920077262. The cubic root of 1457520896 is about 1133.8047269331.

The spelling of 1457520896 in words is "one billion, four hundred fifty-seven million, five hundred twenty thousand, eight hundred ninety-six".