1457039808 has 336 divisors, whose sum is σ = 5235122880. Its totient is φ = 377782272.

The previous prime is 1457039807. The next prime is 1457039819. The reversal of 1457039808 is 8089307541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457039807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987410 + ... + 1988142.

Almost surely, 2^1457039808 is an apocalyptic number.

1457039808 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 1457039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617561440).

1457039808 is an abundant number, since it is smaller than the sum of its proper divisors (3778083072).

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

1457039808 is a wasteful number, since it uses less digits than its factorization.

1457039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1457039808 is about 38171.1908119199. The cubic root of 1457039808 is about 1133.6799671727.

The spelling of 1457039808 in words is "one billion, four hundred fifty-seven million, thirty-nine thousand, eight hundred eight".