259978224 has 80 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 77594880.

The previous prime is 259978219. The next prime is 259978231. The reversal of 259978224 is 422879952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31702 + ... + 39050.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2^259978224 is an apocalyptic number.

259978224 is a gapful number since it is divisible by the number (24) 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 259978224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

259978224 is an abundant number, since it is smaller than the sum of its proper divisors (483724176).

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

259978224 is a wasteful number, since it uses less digits than its factorization.

259978224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7432 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 259978224 is about 16123.8402373628. The cubic root of 259978224 is about 638.2326107457.

The spelling of 259978224 in words is "two hundred fifty-nine million, nine hundred seventy-eight thousand, two hundred twenty-four".