456681150 has 144 divisors (see below), whose sum is σ = 1333962240. Its totient is φ = 111585600.

The previous prime is 456681133. The next prime is 456681223. The reversal of 456681150 is 51186654.

456681150 is a `hidden beast` number, since 4 + 566 + 81 + 15 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 264189 + ... + 265911.

Almost surely, 2^456681150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456681150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666981120).

456681150 is an abundant number, since it is smaller than the sum of its proper divisors (877281090).

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

456681150 is a wasteful number, since it uses less digits than its factorization.

456681150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 456681150 is about 21370.0994382338. The cubic root of 456681150 is about 770.0832821597.

The spelling of 456681150 in words is "four hundred fifty-six million, six hundred eighty-one thousand, one hundred fifty".