253011420 has 72 divisors (see below), whose sum is σ = 771550416. Its totient is φ = 67110912.

The previous prime is 253011419. The next prime is 253011427. The reversal of 253011420 is 24110352.

253011420 is a `hidden beast` number, since 2 + 530 + 114 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253011393 and 253011402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253011427) 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, 31099 + ... + 38381.

It is an arithmetic number, because the mean of its divisors is an integer number (10715978).

Almost surely, 2^253011420 is an apocalyptic number.

253011420 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 253011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385775208).

253011420 is an abundant number, since it is smaller than the sum of its proper divisors (518538996).

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

253011420 is a wasteful number, since it uses less digits than its factorization.

253011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253011420 is about 15906.3327011603. The cubic root of 253011420 is about 632.4798704192.

Adding to 253011420 its reverse (24110352), we get a palindrome (277121772).

The spelling of 253011420 in words is "two hundred fifty-three million, eleven thousand, four hundred twenty".