272598400 has 96 divisors (see below), whose sum is σ = 713157480. Its totient is φ = 102604800.

The previous prime is 272598397. The next prime is 272598401. The reversal of 272598400 is 4895272.

It is a self number, because there is not a number n which added to its sum of digits gives 272598400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272598401) 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 11 ways as a sum of consecutive naturals, for example, 51895 + ... + 56905.

Almost surely, 2^272598400 is an apocalyptic number.

272598400 is a gapful number since it is divisible by the number (20) 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 272598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356578740).

272598400 is an abundant number, since it is smaller than the sum of its proper divisors (440559080).

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

272598400 is a wasteful number, since it uses less digits than its factorization.

272598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 272598400 is about 16510.5542002684. The cubic root of 272598400 is about 648.3971553067.

The spelling of 272598400 in words is "two hundred seventy-two million, five hundred ninety-eight thousand, four hundred".