464988847104 has 704 divisors, whose sum is σ = 1517465664000. Its totient is φ = 140089098240.

The previous prime is 464988847097. The next prime is 464988847109. The reversal of 464988847104 is 401748889464.

464988847104 is a `hidden beast` number, since 46 + 49 + 8 + 88 + 471 + 0 + 4 = 666.

It is a super-2 number, since 2×464988847104² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464988847109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995660172 + ... + 1995660404.

It is an arithmetic number, because the mean of its divisors is an integer number (2155491000).

Almost surely, 2^464988847104 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 464988847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758732832000).

464988847104 is an abundant number, since it is smaller than the sum of its proper divisors (1052476816896).

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

464988847104 is a wasteful number, since it uses less digits than its factorization.

464988847104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 464988847104 in words is "four hundred sixty-four billion, nine hundred eighty-eight million, eight hundred forty-seven thousand, one hundred four".