1459961456 has 80 divisors (see below), whose sum is σ = 3009911520. Its totient is φ = 685117440.

The previous prime is 1459961441. The next prime is 1459961467. The reversal of 1459961456 is 6541699541.

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, 2058830 + ... + 2059538.

It is an arithmetic number, because the mean of its divisors is an integer number (37623894).

Almost surely, 2^1459961456 is an apocalyptic number.

1459961456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1459961456 is an abundant number, since it is smaller than the sum of its proper divisors (1549950064).

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

1459961456 is a wasteful number, since it uses less digits than its factorization.

1459961456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 1459961456 is about 38209.4419744649. The cubic root of 1459961456 is about 1134.4372108151.

The spelling of 1459961456 in words is "one billion, four hundred fifty-nine million, nine hundred sixty-one thousand, four hundred fifty-six".