273882470400 has 2304 divisors, whose sum is σ = 1310316134400. Its totient is φ = 54411264000.

The previous prime is 273882470387. The next prime is 273882470417. The reversal of 273882470400 is 4074288372.

273882470400 is a `hidden beast` number, since 27 + 388 + 247 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3299788759 + ... + 3299788841.

It is an arithmetic number, because the mean of its divisors is an integer number (568713600).

Almost surely, 2^273882470400 is an apocalyptic number.

273882470400 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 273882470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655158067200).

273882470400 is an abundant number, since it is smaller than the sum of its proper divisors (1036433664000).

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

273882470400 is a wasteful number, since it uses less digits than its factorization.

273882470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 273882470400 in words is "two hundred seventy-three billion, eight hundred eighty-two million, four hundred seventy thousand, four hundred".