259004000 has 96 divisors (see below), whose sum is σ = 645817536. Its totient is φ = 102067200.

The previous prime is 259003967. The next prime is 259004003. The reversal of 259004000 is 400952.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291557 + ... + 292443.

It is an arithmetic number, because the mean of its divisors is an integer number (6727266).

Almost surely, 2^259004000 is an apocalyptic number.

259004000 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 259004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322908768).

259004000 is an abundant number, since it is smaller than the sum of its proper divisors (386813536).

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

259004000 is an equidigital number, since it uses as much as digits as its factorization.

259004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 259004000 is about 16093.6012129045. The cubic root of 259004000 is about 637.4343902746.

Adding to 259004000 its reverse (400952), we get a palindrome (259404952).

The spelling of 259004000 in words is "two hundred fifty-nine million, four thousand".