258542800 has 120 divisors (see below), whose sum is σ = 664450776. Its totient is φ = 96337920.

The previous prime is 258542797. The next prime is 258542803. The reversal of 258542800 is 8245852.

It is an interprime number because it is at equal distance from previous prime (258542797) and next prime (258542803).

It can be written as a sum of positive squares in 12 ways, for example, as 10291264 + 248251536 = 3208^2 + 15756^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258542803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312302 + ... + 1312498.

Almost surely, 2^258542800 is an apocalyptic number.

258542800 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 258542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332225388).

258542800 is an abundant number, since it is smaller than the sum of its proper divisors (405907976).

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

258542800 is a wasteful number, since it uses less digits than its factorization.

258542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 258542800 is about 16079.2661524088. The cubic root of 258542800 is about 637.0558125822.

The spelling of 258542800 in words is "two hundred fifty-eight million, five hundred forty-two thousand, eight hundred".