258497040 has 80 divisors (see below), whose sum is σ = 809198208. Its totient is φ = 68256768.

The previous prime is 258497009. The next prime is 258497047. The reversal of 258497040 is 40794852.

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 258497040.

It is not an unprimeable number, because it can be changed into a prime (258497047) 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, 19492 + ... + 29948.

Almost surely, 2^258497040 is an apocalyptic number.

258497040 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 258497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404599104).

258497040 is an abundant number, since it is smaller than the sum of its proper divisors (550701168).

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

258497040 is a wasteful number, since it uses less digits than its factorization.

258497040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10570 counting only the distinct ones).

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

The square root of 258497040 is about 16077.8431389288. The cubic root of 258497040 is about 637.0182257764.

The spelling of 258497040 in words is "two hundred fifty-eight million, four hundred ninety-seven thousand, forty".