258642480 has 40 divisors (see below), whose sum is σ = 801792432. Its totient is φ = 68971264.

The previous prime is 258642479. The next prime is 258642481. The reversal of 258642480 is 84246852.

It is an interprime number because it is at equal distance from previous prime (258642479) and next prime (258642481).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (258642481) 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 7 ways as a sum of consecutive naturals, for example, 538599 + ... + 539078.

Almost surely, 2^258642480 is an apocalyptic number.

258642480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258642480 is an abundant number, since it is smaller than the sum of its proper divisors (543149952).

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

258642480 is a wasteful number, since it uses less digits than its factorization.

258642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077693 (or 1077687 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 258642480 is about 16082.3654976499. The cubic root of 258642480 is about 637.1376733859.

The spelling of 258642480 in words is "two hundred fifty-eight million, six hundred forty-two thousand, four hundred eighty".