253684704 has 192 divisors, whose sum is σ = 833172480. Its totient is φ = 65802240.

The previous prime is 253684699. The next prime is 253684771. The reversal of 253684704 is 407486352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620052 + ... + 620460.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^253684704 is an apocalyptic number.

253684704 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 253684704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

253684704 is an abundant number, since it is smaller than the sum of its proper divisors (579487776).

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

253684704 is a wasteful number, since it uses less digits than its factorization.

253684704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 253684704 is about 15927.4826636226. The cubic root of 253684704 is about 633.0404003274.

The spelling of 253684704 in words is "two hundred fifty-three million, six hundred eighty-four thousand, seven hundred four".