465736680 has 96 divisors (see below), whose sum is σ = 1516530600. Its totient is φ = 123959808.

The previous prime is 465736669. The next prime is 465736693. The reversal of 465736680 is 86637564.

It can be written as a sum of positive squares in 4 ways, for example, as 328987044 + 136749636 = 18138^2 + 11694^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271666 + ... + 273374.

Almost surely, 2^465736680 is an apocalyptic number.

465736680 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 465736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758265300).

465736680 is an abundant number, since it is smaller than the sum of its proper divisors (1050793920).

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

465736680 is a wasteful number, since it uses less digits than its factorization.

465736680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 465736680 is about 21580.9332513680. The cubic root of 465736680 is about 775.1399982953.

The spelling of 465736680 in words is "four hundred sixty-five million, seven hundred thirty-six thousand, six hundred eighty".