464622624 has 72 divisors (see below), whose sum is σ = 1334436012. Its totient is φ = 153331200.

The previous prime is 464622623. The next prime is 464622643. The reversal of 464622624 is 426226464.

464622624 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 22 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386830224 + 77792400 = 19668^2 + 8820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (464622623) 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, 21102 + ... + 37074.

Almost surely, 2^464622624 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 464622624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667218006).

464622624 is an abundant number, since it is smaller than the sum of its proper divisors (869813388).

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

464622624 is a wasteful number, since it uses less digits than its factorization.

464622624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16090 (or 16079 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 464622624 is about 21555.1066803206. The cubic root of 464622624 is about 774.5214521906.

The spelling of 464622624 in words is "four hundred sixty-four million, six hundred twenty-two thousand, six hundred twenty-four".