1457633840 has 40 divisors (see below), whose sum is σ = 3649693488. Its totient is φ = 538202880.

The previous prime is 1457633789. The next prime is 1457633869. The reversal of 1457633840 is 483367541.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699746 + ... + 701825.

Almost surely, 2^1457633840 is an apocalyptic number.

1457633840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457633840 is an abundant number, since it is smaller than the sum of its proper divisors (2192059648).

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

1457633840 is a wasteful number, since it uses less digits than its factorization.

1457633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401597 (or 1401591 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 1457633840 is about 38178.9711752425. The cubic root of 1457633840 is about 1133.8340125357.

The spelling of 1457633840 in words is "one billion, four hundred fifty-seven million, six hundred thirty-three thousand, eight hundred forty".