273673824 has 48 divisors (see below), whose sum is σ = 724082688. Its totient is φ = 90502272.

The previous prime is 273673823. The next prime is 273673879. The reversal of 273673824 is 428376372.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273673823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969 + ... + 23415.

It is an arithmetic number, because the mean of its divisors is an integer number (15085056).

Almost surely, 2^273673824 is an apocalyptic number.

273673824 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 273673824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362041344).

273673824 is an abundant number, since it is smaller than the sum of its proper divisors (450408864).

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

273673824 is a wasteful number, since it uses less digits than its factorization.

273673824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22587 (or 22579 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 273673824 is about 16543.0899169412. The cubic root of 273673824 is about 649.2486972269.

The spelling of 273673824 in words is "two hundred seventy-three million, six hundred seventy-three thousand, eight hundred twenty-four".