1456131960 has 48 divisors (see below), whose sum is σ = 4732430040. Its totient is φ = 388301760.

The previous prime is 1456131953. The next prime is 1456131961. The reversal of 1456131960 is 691316541.

1456131960 is a `hidden beast` number, since 1 + 4 + 561 + 3 + 1 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456131961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2022046 + ... + 2022765.

Almost surely, 2^1456131960 is an apocalyptic number.

1456131960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456131960 is an abundant number, since it is smaller than the sum of its proper divisors (3276298080).

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

1456131960 is a wasteful number, since it uses less digits than its factorization.

1456131960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044828 (or 4044821 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1456131960 is about 38159.2971633388. The cubic root of 1456131960 is about 1133.4444616136. Note that the first 4 decimals are identical.

The spelling of 1456131960 in words is "one billion, four hundred fifty-six million, one hundred thirty-one thousand, nine hundred sixty".