258303540 has 144 divisors (see below), whose sum is σ = 812964096. Its totient is φ = 61205760.

The previous prime is 258303523. The next prime is 258303601. The reversal of 258303540 is 45303852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 258303498 and 258303507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340842 + ... + 341598.

It is an arithmetic number, because the mean of its divisors is an integer number (5645584).

Almost surely, 2^258303540 is an apocalyptic number.

258303540 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 258303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406482048).

258303540 is an abundant number, since it is smaller than the sum of its proper divisors (554660556).

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

258303540 is a wasteful number, since it uses less digits than its factorization.

258303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 258303540 is about 16071.8244141728. The cubic root of 258303540 is about 636.8592377586.

The spelling of 258303540 in words is "two hundred fifty-eight million, three hundred three thousand, five hundred forty".