464604660480 has 144 divisors (see below), whose sum is σ = 1484189280000. Its totient is φ = 123864674304.

The previous prime is 464604660449. The next prime is 464604660491. The reversal of 464604660480 is 84066406464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19184059 + ... + 19208261.

It is an arithmetic number, because the mean of its divisors is an integer number (10306870000).

Almost surely, 2^464604660480 is an apocalyptic number.

464604660480 is a gapful number since it is divisible by the number (40) 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 464604660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742094640000).

464604660480 is an abundant number, since it is smaller than the sum of its proper divisors (1019584619520).

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

464604660480 is a wasteful number, since it uses less digits than its factorization.

464604660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29226 (or 29212 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 464604660480 in words is "four hundred sixty-four billion, six hundred four million, six hundred sixty thousand, four hundred eighty".