464709960 has 640 divisors, whose sum is σ = 1975881600. Its totient is φ = 96215040.

The previous prime is 464709953. The next prime is 464709983. The reversal of 464709960 is 69907464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7876411 + ... + 7876469.

It is an arithmetic number, because the mean of its divisors is an integer number (3087315).

Almost surely, 2^464709960 is an apocalyptic number.

464709960 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 464709960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

464709960 is an abundant number, since it is smaller than the sum of its proper divisors (1511171640).

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

464709960 is a wasteful number, since it uses less digits than its factorization.

464709960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 464709960 is about 21557.1324623661. The cubic root of 464709960 is about 774.5699785746.

The spelling of 464709960 in words is "four hundred sixty-four million, seven hundred nine thousand, nine hundred sixty".