258071040 has 240 divisors, whose sum is σ = 934547328. Its totient is φ = 65691648.

The previous prime is 258070997. The next prime is 258071057. The reversal of 258071040 is 40170852.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 258070995 and 258071013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529677 + ... + 530163.

Almost surely, 2^258071040 is an apocalyptic number.

258071040 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 258071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467273664).

258071040 is an abundant number, since it is smaller than the sum of its proper divisors (676476288).

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

258071040 is a wasteful number, since it uses less digits than its factorization.

258071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 258071040 is about 16064.5896306130. The cubic root of 258071040 is about 636.6681005910.

The spelling of 258071040 in words is "two hundred fifty-eight million, seventy-one thousand, forty".