253727352 has 192 divisors, whose sum is σ = 761866560. Its totient is φ = 76032000.

The previous prime is 253727347. The next prime is 253727359.

253727352 is a `hidden beast` number, since 2 + 537 + 2 + 73 + 52 = 666.

253727352 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253727359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512102 + ... + 2512202.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^253727352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253727352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933280).

253727352 is an abundant number, since it is smaller than the sum of its proper divisors (508139208).

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

253727352 is a wasteful number, since it uses less digits than its factorization.

253727352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 253727352 is about 15928.8214253284. The cubic root of 253727352 is about 633.0758726990.

The spelling of 253727352 in words is "two hundred fifty-three million, seven hundred twenty-seven thousand, three hundred fifty-two".