456732150 has 96 divisors (see below), whose sum is σ = 1300416768. Its totient is φ = 103920000.

The previous prime is 456732139. The next prime is 456732161. The reversal of 456732150 is 51237654.

It is an interprime number because it is at equal distance from previous prime (456732139) and next prime (456732161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262684 + ... + 264416.

It is an arithmetic number, because the mean of its divisors is an integer number (13546008).

Almost surely, 2^456732150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456732150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650208384).

456732150 is an abundant number, since it is smaller than the sum of its proper divisors (843684618).

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

456732150 is a wasteful number, since it uses less digits than its factorization.

456732150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 456732150 is about 21371.2926609506. The cubic root of 456732150 is about 770.1119475173. Note that the first 3 decimals are identical.

The spelling of 456732150 in words is "four hundred fifty-six million, seven hundred thirty-two thousand, one hundred fifty".