464188644480 has 512 divisors, whose sum is σ = 1664385408000. Its totient is φ = 109050347520.

The previous prime is 464188644457. The next prime is 464188644509. The reversal of 464188644480 is 84446881464.

It is a self number, because there is not a number n which added to its sum of digits gives 464188644480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221146471 + ... + 221148569.

It is an arithmetic number, because the mean of its divisors is an integer number (3250752750).

Almost surely, 2^464188644480 is an apocalyptic number.

464188644480 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 464188644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832192704000).

464188644480 is an abundant number, since it is smaller than the sum of its proper divisors (1200196763520).

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

464188644480 is a wasteful number, since it uses less digits than its factorization.

464188644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 57.

The spelling of 464188644480 in words is "four hundred sixty-four billion, one hundred eighty-eight million, six hundred forty-four thousand, four hundred eighty".