465860000 has 60 divisors (see below), whose sum is σ = 1146134682. Its totient is φ = 186336000.

The previous prime is 465859943. The next prime is 465860011. The reversal of 465860000 is 68564.

It can be written as a sum of positive squares in 5 ways, for example, as 17606416 + 448253584 = 4196^2 + 21172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8354 + ... + 31646.

Almost surely, 2^465860000 is an apocalyptic number.

465860000 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 465860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573067341).

465860000 is an abundant number, since it is smaller than the sum of its proper divisors (680274682).

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

465860000 is an equidigital number, since it uses as much as digits as its factorization.

465860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 465860000 is about 21583.7902139545. The cubic root of 465860000 is about 775.2084073578.

The spelling of 465860000 in words is "four hundred sixty-five million, eight hundred sixty thousand".