464042952624 has 320 divisors, whose sum is σ = 1405298626560. Its totient is φ = 130945351680.

The previous prime is 464042952623. The next prime is 464042952631. The reversal of 464042952624 is 426259240464.

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

It is not an unprimeable number, because it can be changed into a prime (464042952623) 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, 25463964 + ... + 25482180.

It is an arithmetic number, because the mean of its divisors is an integer number (4391558208).

Almost surely, 2^464042952624 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 464042952624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702649313280).

464042952624 is an abundant number, since it is smaller than the sum of its proper divisors (941255673936).

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

464042952624 is a wasteful number, since it uses less digits than its factorization.

464042952624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18348 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 464042952624 in words is "four hundred sixty-four billion, forty-two million, nine hundred fifty-two thousand, six hundred twenty-four".