465000870 has 64 divisors (see below), whose sum is σ = 1183392000. Its totient is φ = 116608896.

The previous prime is 465000859. The next prime is 465000917. The reversal of 465000870 is 78000564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 76296 + ... + 82164.

It is an arithmetic number, because the mean of its divisors is an integer number (18490500).

Almost surely, 2^465000870 is an apocalyptic number.

465000870 is the 17607-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465000870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591696000).

465000870 is an abundant number, since it is smaller than the sum of its proper divisors (718391130).

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

465000870 is a wasteful number, since it uses less digits than its factorization.

465000870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 465000870 is about 21563.8788254804. The cubic root of 465000870 is about 774.7315726649.

The spelling of 465000870 in words is "four hundred sixty-five million, eight hundred seventy", and thus it is an aban number.