253284240 has 160 divisors (see below), whose sum is σ = 880050816. Its totient is φ = 59719680.

The previous prime is 253284181. The next prime is 253284359. The reversal of 253284240 is 42482352.

253284240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253284198 and 253284207.

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, 96384 + ... + 98976.

Almost surely, 2^253284240 is an apocalyptic number.

253284240 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 253284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440025408).

253284240 is an abundant number, since it is smaller than the sum of its proper divisors (626766576).

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

253284240 is a wasteful number, since it uses less digits than its factorization.

253284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 253284240 is about 15914.9062202704. The cubic root of 253284240 is about 632.7071212609.

The spelling of 253284240 in words is "two hundred fifty-three million, two hundred eighty-four thousand, two hundred forty".