253525440 has 224 divisors, whose sum is σ = 950390784. Its totient is φ = 56033280.

The previous prime is 253525439. The next prime is 253525469. The reversal of 253525440 is 44525352.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 253525398 and 253525407.

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, 207712 + ... + 208928.

It is an arithmetic number, because the mean of its divisors is an integer number (4242816).

Almost surely, 2^253525440 is an apocalyptic number.

253525440 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 253525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475195392).

253525440 is an abundant number, since it is smaller than the sum of its proper divisors (696865344).

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

253525440 is a wasteful number, since it uses less digits than its factorization.

253525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 253525440 is about 15922.4822185487. The cubic root of 253525440 is about 632.9078977227.

The spelling of 253525440 in words is "two hundred fifty-three million, five hundred twenty-five thousand, four hundred forty".