258270040 has 128 divisors (see below), whose sum is σ = 715968000. Its totient is φ = 81865728.

The previous prime is 258270017. The next prime is 258270053. The reversal of 258270040 is 40072852.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 258269990 and 258270008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228196 + ... + 229324.

It is an arithmetic number, because the mean of its divisors is an integer number (5593500).

Almost surely, 2^258270040 is an apocalyptic number.

258270040 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 258270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357984000).

258270040 is an abundant number, since it is smaller than the sum of its proper divisors (457697960).

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

258270040 is a wasteful number, since it uses less digits than its factorization.

258270040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 258270040 is about 16070.7821838266. The cubic root of 258270040 is about 636.8317046389.

The spelling of 258270040 in words is "two hundred fifty-eight million, two hundred seventy thousand, forty".