1256461164 has 72 divisors (see below), whose sum is σ = 3689326368. Its totient is φ = 353099520.

The previous prime is 1256461159. The next prime is 1256461169. The reversal of 1256461164 is 4611646521.

1256461164 is a `hidden beast` number, since 1 + 2 + 5 + 646 + 1 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1256461159) and next prime (1256461169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1256461169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25497 + ... + 56240.

It is an arithmetic number, because the mean of its divisors is an integer number (51240644).

Almost surely, 2^1256461164 is an apocalyptic number.

1256461164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1256461164 is an abundant number, since it is smaller than the sum of its proper divisors (2432865204).

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

1256461164 is a wasteful number, since it uses less digits than its factorization.

1256461164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81815 (or 81810 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1256461164 is about 35446.5959437574. The cubic root of 1256461164 is about 1079.0701770676.

The spelling of 1256461164 in words is "one billion, two hundred fifty-six million, four hundred sixty-one thousand, one hundred sixty-four".