258694560 has 120 divisors (see below), whose sum is σ = 913021956. Its totient is φ = 68981760.

The previous prime is 258694531. The next prime is 258694561. The reversal of 258694560 is 65496852.

258694560 is a `hidden beast` number, since 2 + 5 + 86 + 9 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249766416 + 8928144 = 15804^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258694561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2980 + ... + 22940.

Almost surely, 2^258694560 is an apocalyptic number.

258694560 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 258694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456510978).

258694560 is an abundant number, since it is smaller than the sum of its proper divisors (654327396).

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

258694560 is a wasteful number, since it uses less digits than its factorization.

258694560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19971 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 258694560 is about 16083.9845809426. The cubic root of 258694560 is about 637.1804349914.

The spelling of 258694560 in words is "two hundred fifty-eight million, six hundred ninety-four thousand, five hundred sixty".