253355580 has 96 divisors (see below), whose sum is σ = 822528000. Its totient is φ = 64620864.

The previous prime is 253355551. The next prime is 253355581. The reversal of 253355580 is 85553352.

253355580 is a `hidden beast` number, since 25 + 3 + 3 + 55 + 580 = 666.

It is a super-3 number, since 3×253355580³ (a number of 26 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253355581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221 + ... + 22619.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^253355580 is an apocalyptic number.

253355580 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 253355580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

253355580 is an abundant number, since it is smaller than the sum of its proper divisors (569172420).

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

253355580 is a wasteful number, since it uses less digits than its factorization.

253355580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20440 (or 20432 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 253355580 is about 15917.1473574884. The cubic root of 253355580 is about 632.7665184148.

The spelling of 253355580 in words is "two hundred fifty-three million, three hundred fifty-five thousand, five hundred eighty".