464089392 has 160 divisors (see below), whose sum is σ = 1519277760. Its totient is φ = 134369280.

The previous prime is 464089391. The next prime is 464089393. The reversal of 464089392 is 293980464.

It is an interprime number because it is at equal distance from previous prime (464089391) and next prime (464089393).

It is not an unprimeable number, because it can be changed into a prime (464089391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93042 + ... + 97902.

It is an arithmetic number, because the mean of its divisors is an integer number (9495486).

Almost surely, 2^464089392 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 464089392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

464089392 is an abundant number, since it is smaller than the sum of its proper divisors (1055188368).

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

464089392 is a wasteful number, since it uses less digits than its factorization.

464089392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 464089392 is about 21542.7340883185. The cubic root of 464089392 is about 774.2250412270.

The spelling of 464089392 in words is "four hundred sixty-four million, eighty-nine thousand, three hundred ninety-two".