464587968 has 112 divisors (see below), whose sum is σ = 1401775200. Its totient is φ = 134529024.

The previous prime is 464587967. The next prime is 464587973. The reversal of 464587968 is 869785464.

It is not an unprimeable number, because it can be changed into a prime (464587967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36958 + ... + 47906.

It is an arithmetic number, because the mean of its divisors is an integer number (12515850).

Almost surely, 2^464587968 is an apocalyptic number.

464587968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700887600).

464587968 is an abundant number, since it is smaller than the sum of its proper divisors (937187232).

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

464587968 is a wasteful number, since it uses less digits than its factorization.

464587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10984 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 464587968 is about 21554.3027723005. The cubic root of 464587968 is about 774.5021946388.

The spelling of 464587968 in words is "four hundred sixty-four million, five hundred eighty-seven thousand, nine hundred sixty-eight".