253624048440 has 128 divisors (see below), whose sum is σ = 870208220160. Its totient is φ = 57928541184.

The previous prime is 253624048387. The next prime is 253624048471. The reversal of 253624048440 is 44840426352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 253624048392 and 253624048401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037844 + ... + 1258716.

It is an arithmetic number, because the mean of its divisors is an integer number (6798501720).

Almost surely, 2^253624048440 is an apocalyptic number.

253624048440 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 253624048440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435104110080).

253624048440 is an abundant number, since it is smaller than the sum of its proper divisors (616584171720).

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

253624048440 is a wasteful number, since it uses less digits than its factorization.

253624048440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222261 (or 222257 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 253624048440 in words is "two hundred fifty-three billion, six hundred twenty-four million, forty-eight thousand, four hundred forty".