464555560 has 64 divisors (see below), whose sum is σ = 1206472320. Its totient is φ = 157689600.

The previous prime is 464555501. The next prime is 464555561. The reversal of 464555560 is 65555464.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (464555561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20067 + ... + 36493.

It is an arithmetic number, because the mean of its divisors is an integer number (18851130).

Almost surely, 2^464555560 is an apocalyptic number.

464555560 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 464555560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603236160).

464555560 is an abundant number, since it is smaller than the sum of its proper divisors (741916760).

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

464555560 is a wasteful number, since it uses less digits than its factorization.

464555560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The square root of 464555560 is about 21553.5509835387. The cubic root of 464555560 is about 774.4841853829.

The spelling of 464555560 in words is "four hundred sixty-four million, five hundred fifty-five thousand, five hundred sixty".