273448904400 has 2400 divisors, whose sum is σ = 1285974835200. Its totient is φ = 54195609600.

The previous prime is 273448904371. The next prime is 273448904401. The reversal of 273448904400 is 4409844372.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273448904401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3072459556 + ... + 3072459644.

It is an arithmetic number, because the mean of its divisors is an integer number (535822848).

Almost surely, 2^273448904400 is an apocalyptic number.

273448904400 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 273448904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642987417600).

273448904400 is an abundant number, since it is smaller than the sum of its proper divisors (1012525930800).

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

273448904400 is a wasteful number, since it uses less digits than its factorization.

273448904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 273448904400 in words is "two hundred seventy-three billion, four hundred forty-eight million, nine hundred four thousand, four hundred".