464468700 has 72 divisors (see below), whose sum is σ = 1357256880. Its totient is φ = 122624000.

The previous prime is 464468687. The next prime is 464468707. The reversal of 464468700 is 7864464.

It is a Smith number, since the sum of its digits (39) 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 (464468707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22636 + ... + 37964.

It is an arithmetic number, because the mean of its divisors is an integer number (18850790).

Almost surely, 2^464468700 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 464468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678628440).

464468700 is an abundant number, since it is smaller than the sum of its proper divisors (892788180).

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

464468700 is a wasteful number, since it uses less digits than its factorization.

464468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15447 (or 15440 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 464468700 is about 21551.5359081435. The cubic root of 464468700 is about 774.4359128006.

The spelling of 464468700 in words is "four hundred sixty-four million, four hundred sixty-eight thousand, seven hundred".