253495440 has 320 divisors, whose sum is σ = 977080320. Its totient is φ = 59880960.

The previous prime is 253495433. The next prime is 253495441. The reversal of 253495440 is 44594352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253495395 and 253495404.

It is not an unprimeable number, because it can be changed into a prime (253495441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116607 + ... + 1116833.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^253495440 is an apocalyptic number.

253495440 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 253495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

253495440 is an abundant number, since it is smaller than the sum of its proper divisors (723584880).

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

253495440 is a wasteful number, since it uses less digits than its factorization.

253495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 253495440 is about 15921.5401265079. The cubic root of 253495440 is about 632.8829324623.

The spelling of 253495440 in words is "two hundred fifty-three million, four hundred ninety-five thousand, four hundred forty".