253542740 has 96 divisors (see below), whose sum is σ = 598800384. Its totient is φ = 89400960.

The previous prime is 253542739. The next prime is 253542799. The reversal of 253542740 is 47245352.

It is a junction number, because it is equal to n+sod(n) for n = 253542697 and 253542706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518137 + ... + 1518303.

It is an arithmetic number, because the mean of its divisors is an integer number (6237504).

Almost surely, 2^253542740 is an apocalyptic number.

253542740 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 253542740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299400192).

253542740 is an abundant number, since it is smaller than the sum of its proper divisors (345257644).

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

253542740 is a wasteful number, since it uses less digits than its factorization.

253542740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 253542740 is about 15923.0254662862. The cubic root of 253542740 is about 632.9222934610.

The spelling of 253542740 in words is "two hundred fifty-three million, five hundred forty-two thousand, seven hundred forty".