464032968 has 128 divisors (see below), whose sum is σ = 1358142720. Its totient is φ = 129392640.

The previous prime is 464032963. The next prime is 464032979. The reversal of 464032968 is 869230464.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (464032963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925328 + ... + 1925568.

It is an arithmetic number, because the mean of its divisors is an integer number (10610490).

Almost surely, 2^464032968 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 464032968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679071360).

464032968 is an abundant number, since it is smaller than the sum of its proper divisors (894109752).

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

464032968 is a wasteful number, since it uses less digits than its factorization.

464032968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 464032968 is about 21541.4244654340. The cubic root of 464032968 is about 774.1936631886.

The spelling of 464032968 in words is "four hundred sixty-four million, thirty-two thousand, nine hundred sixty-eight".