273399840 has 192 divisors, whose sum is σ = 1093720320. Its totient is φ = 62484480.

The previous prime is 273399823. The next prime is 273399857. The reversal of 273399840 is 48993372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (273399823) and next prime (273399857).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25720 + ... + 34760.

It is an arithmetic number, because the mean of its divisors is an integer number (5696460).

Almost surely, 2^273399840 is an apocalyptic number.

273399840 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 273399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546860160).

273399840 is an abundant number, since it is smaller than the sum of its proper divisors (820320480).

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

273399840 is a wasteful number, since it uses less digits than its factorization.

273399840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 273399840 is about 16534.8069235779. The cubic root of 273399840 is about 649.0319633705.

The spelling of 273399840 in words is "two hundred seventy-three million, three hundred ninety-nine thousand, eight hundred forty".