253578240 has 132 divisors (see below), whose sum is σ = 878801664. Its totient is φ = 67608576.

The previous prime is 253578217. The next prime is 253578251. The reversal of 253578240 is 42875352.

253578240 is a `hidden beast` number, since 2 + 535 + 7 + 82 + 40 = 666.

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 = 253578195 and 253578204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43329 + ... + 48831.

Almost surely, 2^253578240 is an apocalyptic number.

253578240 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 253578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439400832).

253578240 is an abundant number, since it is smaller than the sum of its proper divisors (625223424).

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

253578240 is a wasteful number, since it uses less digits than its factorization.

253578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 253578240 is about 15924.1401651706. The cubic root of 253578240 is about 632.9518317981.

The spelling of 253578240 in words is "two hundred fifty-three million, five hundred seventy-eight thousand, two hundred forty".