280830564 has 225 divisors, whose sum is σ = 903902307. Its totient is φ = 76014288.

The previous prime is 280830559. The next prime is 280830569. The reversal of 280830564 is 465038082.

The square root of 280830564 is 16758.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (280830559) and next prime (280830569).

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 (280830569) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14780547 + ... + 14780565.

Almost surely, 2^280830564 is an apocalyptic number.

280830564 is the 16758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280830564

280830564 is an abundant number, since it is smaller than the sum of its proper divisors (623071743).

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

280830564 is an equidigital number, since it uses as much as digits as its factorization.

280830564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

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

The cubic root of 280830564 is about 654.8594877582.

Multiplying 280830564 by its sum of digits (36), we get a square (10109900304 = 100548²).

280830564 divided by its sum of digits (36) gives a square (7800849 = 2793²).

The spelling of 280830564 in words is "two hundred eighty million, eight hundred thirty thousand, five hundred sixty-four".