259155840 has 192 divisors, whose sum is σ = 857301840. Its totient is φ = 66576384.

The previous prime is 259155829. The next prime is 259155851. The reversal of 259155840 is 48551952.

259155840 is digitally balanced in base 2 and base 3, because in such bases 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 (259155829) and next prime (259155851).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×259155840² = 134323498812211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550044 + ... + 3550116.

Almost surely, 2^259155840 is an apocalyptic number.

259155840 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 259155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428650920).

259155840 is an abundant number, since it is smaller than the sum of its proper divisors (598146000).

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

259155840 is an equidigital number, since it uses as much as digits as its factorization.

259155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 259155840 is about 16098.3179245535. The cubic root of 259155840 is about 637.5589303463.

The spelling of 259155840 in words is "two hundred fifty-nine million, one hundred fifty-five thousand, eight hundred forty".