258749040 has 80 divisors (see below), whose sum is σ = 875051136. Its totient is φ = 62726400.

The previous prime is 258749009. The next prime is 258749041. The reversal of 258749040 is 40947852.

258749040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258749040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258749041) 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, 46366 + ... + 51645.

Almost surely, 2^258749040 is an apocalyptic number.

258749040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258749040 is an abundant number, since it is smaller than the sum of its proper divisors (616302096).

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

258749040 is a wasteful number, since it uses less digits than its factorization.

258749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98038 (or 98032 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 258749040 is about 16085.6781019639. The cubic root of 258749040 is about 637.2251610364.

The spelling of 258749040 in words is "two hundred fifty-eight million, seven hundred forty-nine thousand, forty".