464627232 has 192 divisors, whose sum is σ = 1434101760. Its totient is φ = 146057472.

The previous prime is 464627231. The next prime is 464627243. The reversal of 464627232 is 232726464.

464627232 is a `hidden beast` number, since 4 + 6 + 4 + 627 + 23 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (464627231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046703 + ... + 2046929.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^464627232 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 464627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

464627232 is an abundant number, since it is smaller than the sum of its proper divisors (969474528).

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

464627232 is a wasteful number, since it uses less digits than its factorization.

464627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 464627232 is about 21555.2135688793. The cubic root of 464627232 is about 774.5240126794.

It can be divided in two parts, 4646 and 27232, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 464627232 in words is "four hundred sixty-four million, six hundred twenty-seven thousand, two hundred thirty-two".