253593540 has 72 divisors (see below), whose sum is σ = 780107328. Its totient is φ = 66669120.

The previous prime is 253593533. The next prime is 253593541. The reversal of 253593540 is 45395352.

253593540 is a `hidden beast` number, since 25 + 3 + 5 + 93 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253593495 and 253593504.

It is not an unprimeable number, because it can be changed into a prime (253593541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859 + ... + 22701.

It is an arithmetic number, because the mean of its divisors is an integer number (10834824).

Almost surely, 2^253593540 is an apocalyptic number.

253593540 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 253593540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390053664).

253593540 is an abundant number, since it is smaller than the sum of its proper divisors (526513788).

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

253593540 is a wasteful number, since it uses less digits than its factorization.

253593540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 253593540 is about 15924.6205606288. The cubic root of 253593540 is about 632.9645615553.

The spelling of 253593540 in words is "two hundred fifty-three million, five hundred ninety-three thousand, five hundred forty".