273670400 has 108 divisors (see below), whose sum is σ = 689463684. Its totient is φ = 107520000.

The previous prime is 273670391. The next prime is 273670409. The reversal of 273670400 is 4076372.

It is an interprime number because it is at equal distance from previous prime (273670391) and next prime (273670409).

It can be written as a sum of positive squares in 6 ways, for example, as 15618304 + 258052096 = 3952^2 + 16064^2 .

It is not an unprimeable number, because it can be changed into a prime (273670409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390050 + ... + 390750.

It is an arithmetic number, because the mean of its divisors is an integer number (6383923).

Almost surely, 2^273670400 is an apocalyptic number.

273670400 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 273670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344731842).

273670400 is an abundant number, since it is smaller than the sum of its proper divisors (415793284).

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

273670400 is an equidigital number, since it uses as much as digits as its factorization.

273670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 273670400 is about 16542.9864292999. The cubic root of 273670400 is about 649.2459895794.

The spelling of 273670400 in words is "two hundred seventy-three million, six hundred seventy thousand, four hundred".