464011968 has 336 divisors, whose sum is σ = 1549261824. Its totient is φ = 121927680.

The previous prime is 464011963. The next prime is 464011969. The reversal of 464011968 is 869110464.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (464011963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10790955 + ... + 10790997.

Almost surely, 2^464011968 is an apocalyptic number.

464011968 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 464011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774630912).

464011968 is an abundant number, since it is smaller than the sum of its proper divisors (1085249856).

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

464011968 is a wasteful number, since it uses less digits than its factorization.

464011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 464011968 is about 21540.9370269726. The cubic root of 464011968 is about 774.1819841964.

The spelling of 464011968 in words is "four hundred sixty-four million, eleven thousand, nine hundred sixty-eight".