464616432 has 240 divisors, whose sum is σ = 1587755520. Its totient is φ = 129644928.

The previous prime is 464616421. The next prime is 464616433. The reversal of 464616432 is 234616464.

464616432 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 1 + 643 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464616433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994663 + ... + 995129.

It is an arithmetic number, because the mean of its divisors is an integer number (6615648).

Almost surely, 2^464616432 is an apocalyptic number.

464616432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464616432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

464616432 is an abundant number, since it is smaller than the sum of its proper divisors (1123139088).

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

464616432 is a wasteful number, since it uses less digits than its factorization.

464616432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 464616432 is about 21554.9630479850. The cubic root of 464616432 is about 774.5180115072.

The spelling of 464616432 in words is "four hundred sixty-four million, six hundred sixteen thousand, four hundred thirty-two".