273312416 has 96 divisors (see below), whose sum is σ = 616694400. Its totient is φ = 118195200.

The previous prime is 273312409. The next prime is 273312433. The reversal of 273312416 is 614213372.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193390 + ... + 1193618.

It is an arithmetic number, because the mean of its divisors is an integer number (6423900).

Almost surely, 2^273312416 is an apocalyptic number.

273312416 is a gapful number since it is divisible by the number (26) 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 273312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308347200).

273312416 is an abundant number, since it is smaller than the sum of its proper divisors (343381984).

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

273312416 is a wasteful number, since it uses less digits than its factorization.

273312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 273312416 is about 16532.1630768632. The cubic root of 273312416 is about 648.9627765226.

Adding to 273312416 its reverse (614213372), we get a palindrome (887525788).

The spelling of 273312416 in words is "two hundred seventy-three million, three hundred twelve thousand, four hundred sixteen".