253924740 has 96 divisors (see below), whose sum is σ = 831600000. Its totient is φ = 64146816.

The previous prime is 253924739. The next prime is 253924777. The reversal of 253924740 is 47429352.

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 = 253924695 and 253924704.

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, 2115 + ... + 22634.

It is an arithmetic number, because the mean of its divisors is an integer number (8662500).

Almost surely, 2^253924740 is an apocalyptic number.

253924740 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 253924740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800000).

253924740 is an abundant number, since it is smaller than the sum of its proper divisors (577675260).

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

253924740 is a wasteful number, since it uses less digits than its factorization.

253924740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24786 (or 24778 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 253924740 is about 15935.0161593894. The cubic root of 253924740 is about 633.2399979416.

The spelling of 253924740 in words is "two hundred fifty-three million, nine hundred twenty-four thousand, seven hundred forty".