456464250 has 96 divisors (see below), whose sum is σ = 1346559552. Its totient is φ = 110652000.

The previous prime is 456464231. The next prime is 456464311. The reversal of 456464250 is 52464654.

456464250 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 642 + 5 + 0 = 666.

It is a super-2 number, since 2×456464250² = 416719223056125000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15529 + ... + 33971.

It is an arithmetic number, because the mean of its divisors is an integer number (14026662).

Almost surely, 2^456464250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456464250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673279776).

456464250 is an abundant number, since it is smaller than the sum of its proper divisors (890095302).

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

456464250 is a wasteful number, since it uses less digits than its factorization.

456464250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18464 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 456464250 is about 21365.0239878171. The cubic root of 456464250 is about 769.9613462353.

The spelling of 456464250 in words is "four hundred fifty-six million, four hundred sixty-four thousand, two hundred fifty".