258378500 has 24 divisors (see below), whose sum is σ = 564299736. Its totient is φ = 103351200.

The previous prime is 258378479. The next prime is 258378541. The reversal of 258378500 is 5873852.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 258116356 = 512^2 + 16066^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 257879 + ... + 258878.

It is an arithmetic number, because the mean of its divisors is an integer number (23512489).

Almost surely, 2^258378500 is an apocalyptic number.

258378500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258378500 is an abundant number, since it is smaller than the sum of its proper divisors (305921236).

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

258378500 is a wasteful number, since it uses less digits than its factorization.

258378500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516776 (or 516764 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 258378500 is about 16074.1562764582. The cubic root of 258378500 is about 636.9208375741.

The spelling of 258378500 in words is "two hundred fifty-eight million, three hundred seventy-eight thousand, five hundred".