464942592 has 240 divisors, whose sum is σ = 1443313872. Its totient is φ = 149299200.

The previous prime is 464942591. The next prime is 464942603. The reversal of 464942592 is 295249464.

It is a super-2 number, since 2×464942592² = 432343227711356928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464942591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603342 + ... + 4603442.

Almost surely, 2^464942592 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 464942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721656936).

464942592 is an abundant number, since it is smaller than the sum of its proper divisors (978371280).

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

464942592 is an equidigital number, since it uses as much as digits as its factorization.

464942592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 464942592 is about 21562.5274956346. The cubic root of 464942592 is about 774.6992059205.

The spelling of 464942592 in words is "four hundred sixty-four million, nine hundred forty-two thousand, five hundred ninety-two".