253861020 has 192 divisors, whose sum is σ = 909619200. Its totient is φ = 57576960.

The previous prime is 253861001. The next prime is 253861021. The reversal of 253861020 is 20168352.

253861020 is a `hidden beast` number, since 25 + 3 + 8 + 610 + 20 = 666.

253861020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253861021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903280 + ... + 903560.

It is an arithmetic number, because the mean of its divisors is an integer number (4737600).

Almost surely, 2^253861020 is an apocalyptic number.

253861020 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 253861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454809600).

253861020 is an abundant number, since it is smaller than the sum of its proper divisors (655758180).

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

253861020 is a wasteful number, since it uses less digits than its factorization.

253861020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253861020 is about 15933.0166635198. The cubic root of 253861020 is about 633.1870249908.

The spelling of 253861020 in words is "two hundred fifty-three million, eight hundred sixty-one thousand, twenty".