258944400 has 360 divisors, whose sum is σ = 1057807296. Its totient is φ = 57830400.

The previous prime is 258944377. The next prime is 258944417. The reversal of 258944400 is 4449852.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514549 + ... + 515051.

Almost surely, 2^258944400 is an apocalyptic number.

258944400 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 258944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903648).

258944400 is an abundant number, since it is smaller than the sum of its proper divisors (798862896).

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

258944400 is a wasteful number, since it uses less digits than its factorization.

258944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258944400 is about 16091.7494387652. The cubic root of 258944400 is about 637.3854926976.

The spelling of 258944400 in words is "two hundred fifty-eight million, nine hundred forty-four thousand, four hundred".