258630840 has 256 divisors, whose sum is σ = 942480000. Its totient is φ = 63078912.

The previous prime is 258630821. The next prime is 258630847. The reversal of 258630840 is 48036852.

258630840 is a `hidden beast` number, since 2 + 586 + 30 + 8 + 40 = 666.

It is a super-2 number, since 2×258630840² = 133779822798211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258630795 and 258630804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258630847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2372706 + ... + 2372814.

Almost surely, 2^258630840 is an apocalyptic number.

258630840 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 258630840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240000).

258630840 is an abundant number, since it is smaller than the sum of its proper divisors (683849160).

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

258630840 is a wasteful number, since it uses less digits than its factorization.

258630840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258630840 is about 16082.0036065162. The cubic root of 258630840 is about 637.1281152837.

The spelling of 258630840 in words is "two hundred fifty-eight million, six hundred thirty thousand, eight hundred forty".