456492036 has 288 divisors, whose sum is σ = 1496154240. Its totient is φ = 106444800.

The previous prime is 456492011. The next prime is 456492053. The reversal of 456492036 is 630294654.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 456491985 and 456492003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5129080 + ... + 5129168.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^456492036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456492036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

456492036 is an abundant number, since it is smaller than the sum of its proper divisors (1039662204).

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

456492036 is a wasteful number, since it uses less digits than its factorization.

456492036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 456492036 is about 21365.6742463232. The cubic root of 456492036 is about 769.9769690081.

The spelling of 456492036 in words is "four hundred fifty-six million, four hundred ninety-two thousand, thirty-six".