273812400 has 240 divisors, whose sum is σ = 989753120. Its totient is φ = 72783360.

The previous prime is 273812389. The next prime is 273812411. The reversal of 273812400 is 4218372.

It is an interprime number because it is at equal distance from previous prime (273812389) and next prime (273812411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 874644 + ... + 874956.

Almost surely, 2^273812400 is an apocalyptic number.

273812400 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 273812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494876560).

273812400 is an abundant number, since it is smaller than the sum of its proper divisors (715940720).

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

273812400 is an equidigital number, since it uses as much as digits as its factorization.

273812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 273812400 is about 16547.2777217281. The cubic root of 273812400 is about 649.3582620912.

The spelling of 273812400 in words is "two hundred seventy-three million, eight hundred twelve thousand, four hundred".