258378000 has 80 divisors (see below), whose sum is σ = 833030016. Its totient is φ = 68899200.

The previous prime is 258377971. The next prime is 258378007. The reversal of 258378000 is 873852.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (258378007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15532 + ... + 27531.

Almost surely, 2^258378000 is an apocalyptic number.

258378000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258378000 is an abundant number, since it is smaller than the sum of its proper divisors (574652016).

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

258378000 is a wasteful number, since it uses less digits than its factorization.

258378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43089 (or 43073 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 258378000 is about 16074.1407235348. The cubic root of 258378000 is about 636.9204267290.

The spelling of 258378000 in words is "two hundred fifty-eight million, three hundred seventy-eight thousand".