253040020 has 96 divisors (see below), whose sum is σ = 576108288. Its totient is φ = 93130752.

The previous prime is 253040009. The next prime is 253040023. The reversal of 253040020 is 20040352.

It is a junction number, because it is equal to n+sod(n) for n = 253039976 and 253040003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253040023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364807 + ... + 2364913.

It is an arithmetic number, because the mean of its divisors is an integer number (6001128).

Almost surely, 2^253040020 is an apocalyptic number.

253040020 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 253040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288054144).

253040020 is an abundant number, since it is smaller than the sum of its proper divisors (323068268).

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

253040020 is a wasteful number, since it uses less digits than its factorization.

253040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 253040020 is about 15907.2316887634. The cubic root of 253040020 is about 632.5037010204.

Adding to 253040020 its reverse (20040352), we get a palindrome (273080372).

The spelling of 253040020 in words is "two hundred fifty-three million, forty thousand, twenty".