456135816 has 32 divisors (see below), whose sum is σ = 1189920960. Its totient is φ = 145434432.

The previous prime is 456135811. The next prime is 456135821. The reversal of 456135816 is 618531654.

It is an interprime number because it is at equal distance from previous prime (456135811) and next prime (456135821).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (456135811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412615 + ... + 413718.

It is an arithmetic number, because the mean of its divisors is an integer number (37185030).

Almost surely, 2^456135816 is an apocalyptic number.

456135816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456135816 is an abundant number, since it is smaller than the sum of its proper divisors (733785144).

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

456135816 is a wasteful number, since it uses less digits than its factorization.

456135816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826365 (or 826361 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 456135816 is about 21357.3363507718. The cubic root of 456135816 is about 769.7766350485.

The spelling of 456135816 in words is "four hundred fifty-six million, one hundred thirty-five thousand, eight hundred sixteen".