456671232 has 180 divisors, whose sum is σ = 1397184880. Its totient is φ = 143327232.

The previous prime is 456671209. The next prime is 456671239. The reversal of 456671232 is 232176654.

456671232 is a `hidden beast` number, since 4 + 566 + 71 + 23 + 2 = 666.

It is a super-2 number, since 2×456671232² = 417097228272795648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (456671239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801583 + ... + 2801745.

Almost surely, 2^456671232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698592440).

456671232 is an abundant number, since it is smaller than the sum of its proper divisors (940513648).

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

456671232 is a wasteful number, since it uses less digits than its factorization.

456671232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 456671232 is about 21369.8673837719. The cubic root of 456671232 is about 770.0777073429.

The spelling of 456671232 in words is "four hundred fifty-six million, six hundred seventy-one thousand, two hundred thirty-two".