253869840 has 240 divisors, whose sum is σ = 1032041088. Its totient is φ = 54595584.

The previous prime is 253869817. The next prime is 253869853. The reversal of 253869840 is 48968352.

253869840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84199 + ... + 87161.

Almost surely, 2^253869840 is an apocalyptic number.

253869840 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 253869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516020544).

253869840 is an abundant number, since it is smaller than the sum of its proper divisors (778171248).

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

253869840 is a wasteful number, since it uses less digits than its factorization.

253869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 253869840 is about 15933.2934448594. The cubic root of 253869840 is about 633.1943579334.

The spelling of 253869840 in words is "two hundred fifty-three million, eight hundred sixty-nine thousand, eight hundred forty".