464574672 has 60 divisors (see below), whose sum is σ = 1309709700. Its totient is φ = 153721344.

The previous prime is 464574661. The next prime is 464574679. The reversal of 464574672 is 276475464.

464574672 is a `hidden beast` number, since 4 + 6 + 4 + 574 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 376515216 = 9384^2 + 19404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464574679) 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, 7954 + ... + 31502.

It is an arithmetic number, because the mean of its divisors is an integer number (21828495).

Almost surely, 2^464574672 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 464574672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654854850).

464574672 is an abundant number, since it is smaller than the sum of its proper divisors (845135028).

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

464574672 is a wasteful number, since it uses less digits than its factorization.

464574672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700 (or 23691 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 464574672 is about 21553.9943397970. The cubic root of 464574672 is about 774.4948060994.

The spelling of 464574672 in words is "four hundred sixty-four million, five hundred seventy-four thousand, six hundred seventy-two".