258966400 has 192 divisors, whose sum is σ = 798341760. Its totient is φ = 80640000.

The previous prime is 258966377. The next prime is 258966401. The reversal of 258966400 is 4669852.

It is a happy number.

258966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258966401) 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, 245875 + ... + 246925.

It is an arithmetic number, because the mean of its divisors is an integer number (4158030).

Almost surely, 2^258966400 is an apocalyptic number.

258966400 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 258966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399170880).

258966400 is an abundant number, since it is smaller than the sum of its proper divisors (539375360).

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

258966400 is a wasteful number, since it uses less digits than its factorization.

258966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 258966400 is about 16092.4330043657. The cubic root of 258966400 is about 637.4035430124.

The spelling of 258966400 in words is "two hundred fifty-eight million, nine hundred sixty-six thousand, four hundred".