1456163600 has 30 divisors (see below), whose sum is σ = 3498434010. Its totient is φ = 582465280.

The previous prime is 1456163587. The next prime is 1456163617. The reversal of 1456163600 is 63616541.

It can be written as a sum of positive squares in 3 ways, for example, as 13075456 + 1443088144 = 3616^2 + 37988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1819805 + ... + 1820604.

It is an arithmetic number, because the mean of its divisors is an integer number (116614467).

Almost surely, 2^1456163600 is an apocalyptic number.

1456163600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456163600 is an abundant number, since it is smaller than the sum of its proper divisors (2042270410).

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

1456163600 is a wasteful number, since it uses less digits than its factorization.

1456163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640427 (or 3640416 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1456163600 is about 38159.7117389532. The cubic root of 1456163600 is about 1133.4526710168.

The spelling of 1456163600 in words is "one billion, four hundred fifty-six million, one hundred sixty-three thousand, six hundred".