456611364 has 192 divisors, whose sum is σ = 1428295680. Its totient is φ = 124439040.

The previous prime is 456611359. The next prime is 456611371. The reversal of 456611364 is 463116654.

It is a happy number.

456611364 is a `hidden beast` number, since 4 + 5 + 6 + 611 + 36 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464017 + ... + 464999.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^456611364 is an apocalyptic number.

456611364 is a gapful number since it is divisible by the number (44) 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 456611364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

456611364 is an abundant number, since it is smaller than the sum of its proper divisors (971684316).

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

456611364 is a wasteful number, since it uses less digits than its factorization.

456611364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 456611364 is about 21368.4665804545. The cubic root of 456611364 is about 770.0440543749.

The spelling of 456611364 in words is "four hundred fifty-six million, six hundred eleven thousand, three hundred sixty-four".