253484352 has 126 divisors (see below), whose sum is σ = 798842954. Its totient is φ = 76792320.

The previous prime is 253484351. The next prime is 253484359.

253484352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 106007616 = 12144^2 + 10296^2 .

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 (253484351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67878 + ... + 71514.

Almost surely, 2^253484352 is an apocalyptic number.

253484352 is a gapful number since it is divisible by the number (22) 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 253484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399421477).

253484352 is an abundant number, since it is smaller than the sum of its proper divisors (545358602).

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

253484352 is a wasteful number, since it uses less digits than its factorization.

253484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3653 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 253484352 is about 15921.1919151802. The cubic root of 253484352 is about 632.8737048035.

The spelling of 253484352 in words is "two hundred fifty-three million, four hundred eighty-four thousand, three hundred fifty-two".