258277040 has 120 divisors (see below), whose sum is σ = 716016672. Its totient is φ = 86338560.

The previous prime is 258277031. The next prime is 258277067. The reversal of 258277040 is 40772852.

It is a Cunningham number, because it is equal to 16071²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159917 + ... + 161523.

Almost surely, 2^258277040 is an apocalyptic number.

258277040 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 258277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358008336).

258277040 is an abundant number, since it is smaller than the sum of its proper divisors (457739632).

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

258277040 is a wasteful number, since it uses less digits than its factorization.

258277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 258277040 is about 16070.9999688881. Note that the first 4 decimals coincide. The cubic root of 258277040 is about 636.8374580249.

The spelling of 258277040 in words is "two hundred fifty-eight million, two hundred seventy-seven thousand, forty".