1457036256 has 96 divisors (see below), whose sum is σ = 4144186368. Its totient is φ = 445570560.

The previous prime is 1457036233. The next prime is 1457036267. The reversal of 1457036256 is 6526307541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204921 + ... + 211911.

It is an arithmetic number, because the mean of its divisors is an integer number (43168608).

Almost surely, 2^1457036256 is an apocalyptic number.

1457036256 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 1457036256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072093184).

1457036256 is an abundant number, since it is smaller than the sum of its proper divisors (2687150112).

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

1457036256 is a wasteful number, since it uses less digits than its factorization.

1457036256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 1457036256 is about 38171.1442846557. The cubic root of 1457036256 is about 1133.6790459362.

The spelling of 1457036256 in words is "one billion, four hundred fifty-seven million, thirty-six thousand, two hundred fifty-six".