259230400 has 252 divisors, whose sum is σ = 762392176. Its totient is φ = 86169600.

The previous prime is 259230397. The next prime is 259230403. The reversal of 259230400 is 4032952.

It is a happy number.

259230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259230397) and next prime (259230403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259230403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2516749 + ... + 2516851.

Almost surely, 2^259230400 is an apocalyptic number.

259230400 is a gapful number since it is divisible by the number (20) 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 259230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381196088).

259230400 is an abundant number, since it is smaller than the sum of its proper divisors (503161776).

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

259230400 is a wasteful number, since it uses less digits than its factorization.

259230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 259230400 is about 16100.6335279081. The cubic root of 259230400 is about 637.6200670942.

The spelling of 259230400 in words is "two hundred fifty-nine million, two hundred thirty thousand, four hundred".