253473978240 has 512 divisors, whose sum is σ = 1049847321600. Its totient is φ = 56588378112.

The previous prime is 253473978239. The next prime is 253473978269. The reversal of 253473978240 is 42879374352.

It is a happy number.

253473978240 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 7 + 397 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5176914 + ... + 5225646.

It is an arithmetic number, because the mean of its divisors is an integer number (2050483050).

Almost surely, 2^253473978240 is an apocalyptic number.

253473978240 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 253473978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524923660800).

253473978240 is an abundant number, since it is smaller than the sum of its proper divisors (796373343360).

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

253473978240 is a wasteful number, since it uses less digits than its factorization.

253473978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48811 (or 48793 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 253473978240 in words is "two hundred fifty-three billion, four hundred seventy-three million, nine hundred seventy-eight thousand, two hundred forty".