253541046460 has 96 divisors (see below), whose sum is σ = 581636043072. Its totient is φ = 92271052800.

The previous prime is 253541046439. The next prime is 253541046461. The reversal of 253541046460 is 64640145352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253541046461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36077467 + ... + 36084493.

It is an arithmetic number, because the mean of its divisors is an integer number (6058708782).

Almost surely, 2^253541046460 is an apocalyptic number.

253541046460 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 253541046460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290818021536).

253541046460 is an abundant number, since it is smaller than the sum of its proper divisors (328094996612).

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

253541046460 is a wasteful number, since it uses less digits than its factorization.

253541046460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 253541046460 in words is "two hundred fifty-three billion, five hundred forty-one million, forty-six thousand, four hundred sixty".