465464580 has 96 divisors (see below), whose sum is σ = 1492598016. Its totient is φ = 106169856.

The previous prime is 465464579. The next prime is 465464599. The reversal of 465464580 is 85464564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283522 + ... + 285158.

It is an arithmetic number, because the mean of its divisors is an integer number (15547896).

Almost surely, 2^465464580 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 465464580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746299008).

465464580 is an abundant number, since it is smaller than the sum of its proper divisors (1027133436).

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

465464580 is a wasteful number, since it uses less digits than its factorization.

465464580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 465464580 is about 21574.6281543854. The cubic root of 465464580 is about 774.9890140656.

The spelling of 465464580 in words is "four hundred sixty-five million, four hundred sixty-four thousand, five hundred eighty".