456399090 has 128 divisors (see below), whose sum is σ = 1403896320. Its totient is φ = 103348224.

The previous prime is 456399089. The next prime is 456399113. The reversal of 456399090 is 90993654.

It is a happy number.

456399090 is a `hidden beast` number, since 4 + 5 + 639 + 9 + 0 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 212502 + ... + 214638.

It is an arithmetic number, because the mean of its divisors is an integer number (10967940).

Almost surely, 2^456399090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456399090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701948160).

456399090 is an abundant number, since it is smaller than the sum of its proper divisors (947497230).

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

456399090 is a wasteful number, since it uses less digits than its factorization.

456399090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 456399090 is about 21363.4990111639. The cubic root of 456399090 is about 769.9247073172.

The spelling of 456399090 in words is "four hundred fifty-six million, three hundred ninety-nine thousand, ninety".