1457906688 has 396 divisors, whose sum is σ = 5156998912. Its totient is φ = 403107840.

The previous prime is 1457906683. The next prime is 1457906707. The reversal of 1457906688 is 8866097541.

1457906688 is a `hidden beast` number, since 1 + 4 + 579 + 0 + 6 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1457906683) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 47029233 + ... + 47029263.

Almost surely, 2^1457906688 is an apocalyptic number.

1457906688 is a gapful number since it is divisible by the number (18) 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 1457906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578499456).

1457906688 is an abundant number, since it is smaller than the sum of its proper divisors (3699092224).

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

1457906688 is an frugal number, since it uses more digits than its factorization.

1457906688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1457906688 is about 38182.5442840050. The cubic root of 1457906688 is about 1133.9047539051.

The spelling of 1457906688 in words is "one billion, four hundred fifty-seven million, nine hundred six thousand, six hundred eighty-eight".