253837672 has 64 divisors (see below), whose sum is σ = 541094400. Its totient is φ = 111513600.

The previous prime is 253837657. The next prime is 253837673. The reversal of 253837672 is 276738352.

It is not an unprimeable number, because it can be changed into a prime (253837673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329704 + ... + 330472.

It is an arithmetic number, because the mean of its divisors is an integer number (8454600).

Almost surely, 2^253837672 is an apocalyptic number.

253837672 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 253837672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270547200).

253837672 is an abundant number, since it is smaller than the sum of its proper divisors (287256728).

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

253837672 is a wasteful number, since it uses less digits than its factorization.

253837672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 813 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 253837672 is about 15932.2839542860. The cubic root of 253837672 is about 633.1676126578.

The spelling of 253837672 in words is "two hundred fifty-three million, eight hundred thirty-seven thousand, six hundred seventy-two".