1314927432 has 192 divisors, whose sum is σ = 4546039680. Its totient is φ = 346747392.

The previous prime is 1314927431. The next prime is 1314927443. The reversal of 1314927432 is 2347294131.

It is a happy number.

1314927432 is a `hidden beast` number, since 131 + 4 + 92 + 7 + 432 = 666.

It is a super-2 number, since 2×1314927432² = 3458068302852229248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1314927431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173188 + ... + 180620.

It is an arithmetic number, because the mean of its divisors is an integer number (23677290).

Almost surely, 2^1314927432 is an apocalyptic number.

1314927432 is a gapful number since it is divisible by the number (12) 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 1314927432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273019840).

1314927432 is an abundant number, since it is smaller than the sum of its proper divisors (3231112248).

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

1314927432 is a wasteful number, since it uses less digits than its factorization.

1314927432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7458 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1314927432 is about 36261.9281340637. The cubic root of 1314927432 is about 1095.5543524467.

The spelling of 1314927432 in words is "one billion, three hundred fourteen million, nine hundred twenty-seven thousand, four hundred thirty-two".