464092992 has 168 divisors, whose sum is σ = 1469257920. Its totient is φ = 138885120.

The previous prime is 464092969. The next prime is 464092999. The reversal of 464092992 is 299290464.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464092999) 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, 563493 + ... + 564315.

Almost surely, 2^464092992 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 464092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734628960).

464092992 is an abundant number, since it is smaller than the sum of its proper divisors (1005164928).

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

464092992 is a wasteful number, since it uses less digits than its factorization.

464092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 464092992 is about 21542.8176430104. The cubic root of 464092992 is about 774.2270431423.

The spelling of 464092992 in words is "four hundred sixty-four million, ninety-two thousand, nine hundred ninety-two".