456461036 has 24 divisors (see below), whose sum is σ = 853874784. Its totient is φ = 212981120.

The previous prime is 456461029. The next prime is 456461087. The reversal of 456461036 is 630164654.

It is a junction number, because it is equal to n+sod(n) for n = 456460987 and 456461005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56735 + ... + 64278.

It is an arithmetic number, because the mean of its divisors is an integer number (35578116).

Almost surely, 2^456461036 is an apocalyptic number.

456461036 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456461036 is a deficient number, since it is larger than the sum of its proper divisors (397413748).

456461036 is a wasteful number, since it uses less digits than its factorization.

456461036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121081 (or 121079 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 456461036 is about 21364.9487712936. The cubic root of 456461036 is about 769.9595391119.

The spelling of 456461036 in words is "four hundred fifty-six million, four hundred sixty-one thousand, thirty-six".