253456035420 has 192 divisors, whose sum is σ = 816774368256. Its totient is φ = 57525780480.

The previous prime is 253456035389. The next prime is 253456035449. The reversal of 253456035420 is 24530654352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46579900 + ... + 46585340.

It is an arithmetic number, because the mean of its divisors is an integer number (4254033168).

Almost surely, 2^253456035420 is an apocalyptic number.

253456035420 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 253456035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408387184128).

253456035420 is an abundant number, since it is smaller than the sum of its proper divisors (563318332836).

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

253456035420 is a wasteful number, since it uses less digits than its factorization.

253456035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 253456035420 its reverse (24530654352), we get a palindrome (277986689772).

The spelling of 253456035420 in words is "two hundred fifty-three billion, four hundred fifty-six million, thirty-five thousand, four hundred twenty".