456494220 has 432 divisors, whose sum is σ = 1821718080. Its totient is φ = 89994240.

The previous prime is 456494167. The next prime is 456494231. The reversal of 456494220 is 22494654.

456494220 is a `hidden beast` number, since 4 + 5 + 649 + 4 + 2 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14725605 + ... + 14725635.

It is an arithmetic number, because the mean of its divisors is an integer number (4216940).

Almost surely, 2^456494220 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 456494220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910859040).

456494220 is an abundant number, since it is smaller than the sum of its proper divisors (1365223860).

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

456494220 is a wasteful number, since it uses less digits than its factorization.

456494220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 456494220 is about 21365.7253562803. The cubic root of 456494220 is about 769.9781969427.

The spelling of 456494220 in words is "four hundred fifty-six million, four hundred ninety-four thousand, two hundred twenty".