258542480 has 160 divisors (see below), whose sum is σ = 725096448. Its totient is φ = 83865600.

The previous prime is 258542467. The next prime is 258542483. The reversal of 258542480 is 84245852.

It is not an unprimeable number, because it can be changed into a prime (258542483) 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 31 ways as a sum of consecutive naturals, for example, 919940 + ... + 920220.

Almost surely, 2^258542480 is an apocalyptic number.

258542480 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 258542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362548224).

258542480 is an abundant number, since it is smaller than the sum of its proper divisors (466553968).

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

258542480 is a wasteful number, since it uses less digits than its factorization.

258542480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 258542480 is about 16079.2562017029. The cubic root of 258542480 is about 637.0555497528.

The spelling of 258542480 in words is "two hundred fifty-eight million, five hundred forty-two thousand, four hundred eighty".