258029280 has 96 divisors (see below), whose sum is σ = 903117600. Its totient is φ = 68806656.

The previous prime is 258029279. The next prime is 258029287. The reversal of 258029280 is 82920852.

258029280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258029287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25545 + ... + 34184.

It is an arithmetic number, because the mean of its divisors is an integer number (9407475).

Almost surely, 2^258029280 is an apocalyptic number.

258029280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258029280 is an abundant number, since it is smaller than the sum of its proper divisors (645088320).

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

258029280 is a wasteful number, since it uses less digits than its factorization.

258029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59753 (or 59739 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 258029280 is about 16063.2898249393. The cubic root of 258029280 is about 636.6337577293.

The spelling of 258029280 in words is "two hundred fifty-eight million, twenty-nine thousand, two hundred eighty".