272870400 has 528 divisors, whose sum is σ = 1096536960. Its totient is φ = 58982400.

The previous prime is 272870393. The next prime is 272870441. The reversal of 272870400 is 4078272.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14361591 + ... + 14361609.

Almost surely, 2^272870400 is an apocalyptic number.

272870400 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 272870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548268480).

272870400 is an abundant number, since it is smaller than the sum of its proper divisors (823666560).

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

272870400 is a wasteful number, since it uses less digits than its factorization.

272870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 272870400 is about 16518.7893018829. The cubic root of 272870400 is about 648.6127415559.

The spelling of 272870400 in words is "two hundred seventy-two million, eight hundred seventy thousand, four hundred".