273974400 has 480 divisors, whose sum is σ = 1163110080. Its totient is φ = 62208000.

The previous prime is 273974399. The next prime is 273974417. The reversal of 273974400 is 4479372.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814325 + ... + 1814475.

It is an arithmetic number, because the mean of its divisors is an integer number (2423146).

Almost surely, 2^273974400 is an apocalyptic number.

273974400 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 273974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581555040).

273974400 is an abundant number, since it is smaller than the sum of its proper divisors (889135680).

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

273974400 is a wasteful number, since it uses less digits than its factorization.

273974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 273974400 is about 16552.1720629046. The cubic root of 273974400 is about 649.4863002407.

The spelling of 273974400 in words is "two hundred seventy-three million, nine hundred seventy-four thousand, four hundred".