464781960 has 96 divisors (see below), whose sum is σ = 1513863000. Its totient is φ = 123669504.

The previous prime is 464781959. The next prime is 464781983. The reversal of 464781960 is 69187464.

It can be written as a sum of positive squares in 4 ways, for example, as 163481796 + 301300164 = 12786^2 + 17358^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203706 + ... + 205974.

Almost surely, 2^464781960 is an apocalyptic number.

464781960 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 464781960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756931500).

464781960 is an abundant number, since it is smaller than the sum of its proper divisors (1049081040).

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

464781960 is a wasteful number, since it uses less digits than its factorization.

464781960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 464781960 is about 21558.8023786109. The cubic root of 464781960 is about 774.6099792656.

The spelling of 464781960 in words is "four hundred sixty-four million, seven hundred eighty-one thousand, nine hundred sixty".