253726704 has 240 divisors, whose sum is σ = 905299200. Its totient is φ = 65761920.

The previous prime is 253726691. The next prime is 253726729. The reversal of 253726704 is 407627352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

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, 543079 + ... + 543545.

It is an arithmetic number, because the mean of its divisors is an integer number (3772080).

Almost surely, 2^253726704 is an apocalyptic number.

253726704 is a gapful number since it is divisible by the number (24) 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 253726704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452649600).

253726704 is an abundant number, since it is smaller than the sum of its proper divisors (651572496).

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

253726704 is a wasteful number, since it uses less digits than its factorization.

253726704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 253726704 is about 15928.8010848274. The cubic root of 253726704 is about 633.0753337563.

It can be divided in two parts, 2537 and 26704, that added together give a square (29241 = 171²).

The spelling of 253726704 in words is "two hundred fifty-three million, seven hundred twenty-six thousand, seven hundred four".