464524120100 has 72 divisors (see below), whose sum is σ = 1062502203840. Its totient is φ = 175792740480.

The previous prime is 464524120009. The next prime is 464524120129. The reversal of 464524120100 is 1021425464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247174 + ... + 1576226.

Almost surely, 2^464524120100 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 464524120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531251101920).

464524120100 is an abundant number, since it is smaller than the sum of its proper divisors (597978083740).

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

464524120100 is a wasteful number, since it uses less digits than its factorization.

464524120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329829 (or 329822 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 464524120100 its reverse (1021425464), we get a palindrome (465545545564).

The spelling of 464524120100 in words is "four hundred sixty-four billion, five hundred twenty-four million, one hundred twenty thousand, one hundred".