259043904 has 168 divisors, whose sum is σ = 869826048. Its totient is φ = 72161280.

The previous prime is 259043903. The next prime is 259043959. The reversal of 259043904 is 409340952.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×259043904² = 134207488399122432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (259043903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164529 + ... + 166095.

It is an arithmetic number, because the mean of its divisors is an integer number (5177536).

Almost surely, 2^259043904 is an apocalyptic number.

259043904 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 259043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434913024).

259043904 is an abundant number, since it is smaller than the sum of its proper divisors (610782144).

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

259043904 is a wasteful number, since it uses less digits than its factorization.

259043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 259043904 is about 16094.8409125409. The cubic root of 259043904 is about 637.4671244869.

The spelling of 259043904 in words is "two hundred fifty-nine million, forty-three thousand, nine hundred four".