464581260 has 144 divisors (see below), whose sum is σ = 1655690400. Its totient is φ = 103956480.

The previous prime is 464581259. The next prime is 464581261. The reversal of 464581260 is 62185464.

464581260 is a `hidden beast` number, since 4 + 645 + 8 + 1 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464581259) and next prime (464581261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464581261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16716 + ... + 34764.

It is an arithmetic number, because the mean of its divisors is an integer number (11497850).

Almost surely, 2^464581260 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 464581260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827845200).

464581260 is an abundant number, since it is smaller than the sum of its proper divisors (1191109140).

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

464581260 is a wasteful number, since it uses less digits than its factorization.

464581260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088 (or 18083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 464581260 is about 21554.1471647569. The cubic root of 464581260 is about 774.4984670449.

It can be divided in two parts, 4645 and 81260, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 464581260 in words is "four hundred sixty-four million, five hundred eighty-one thousand, two hundred sixty".