456334450 has 48 divisors (see below), whose sum is σ = 997186176. Its totient is φ = 153172800.

The previous prime is 456334441. The next prime is 456334481. The reversal of 456334450 is 54433654.

It is a super-2 number, since 2×456334450² = 416482260513605000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24762 + ... + 39061.

It is an arithmetic number, because the mean of its divisors is an integer number (20774712).

Almost surely, 2^456334450 is an apocalyptic number.

456334450 is an abundant number, since it is smaller than the sum of its proper divisors (540851726).

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

456334450 is a wasteful number, since it uses less digits than its factorization.

456334450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63859 (or 63854 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 456334450 is about 21361.9860968029. The cubic root of 456334450 is about 769.8883573449. Note that the first 3 decimals are identical.

The spelling of 456334450 in words is "four hundred fifty-six million, three hundred thirty-four thousand, four hundred fifty".