259348456400 has 240 divisors, whose sum is σ = 691352625600. Its totient is φ = 92708352000.

The previous prime is 259348456349. The next prime is 259348456429. The reversal of 259348456400 is 4654843952.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70877771 + ... + 70881429.

It is an arithmetic number, because the mean of its divisors is an integer number (2880635940).

Almost surely, 2^259348456400 is an apocalyptic number.

259348456400 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 259348456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345676312800).

259348456400 is an abundant number, since it is smaller than the sum of its proper divisors (432004169200).

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

259348456400 is a wasteful number, since it uses less digits than its factorization.

259348456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 259348456400 in words is "two hundred fifty-nine billion, three hundred forty-eight million, four hundred fifty-six thousand, four hundred".