273967920 has 240 divisors, whose sum is σ = 1011497760. Its totient is φ = 68677632.

The previous prime is 273967919. The next prime is 273967931. The reversal of 273967920 is 29769372.

It is a happy number.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330066 + ... + 330894.

It is an arithmetic number, because the mean of its divisors is an integer number (4214574).

Almost surely, 2^273967920 is an apocalyptic number.

273967920 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 273967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505748880).

273967920 is an abundant number, since it is smaller than the sum of its proper divisors (737529840).

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

273967920 is a wasteful number, since it uses less digits than its factorization.

273967920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 273967920 is about 16551.9763170444. The cubic root of 273967920 is about 649.4811796839.

The spelling of 273967920 in words is "two hundred seventy-three million, nine hundred sixty-seven thousand, nine hundred twenty".