273293020 has 288 divisors, whose sum is σ = 833341824. Its totient is φ = 72990720.

The previous prime is 273292973. The next prime is 273293023. The reversal of 273293020 is 20392372.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 273293020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273293023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3743704 + ... + 3743776.

It is an arithmetic number, because the mean of its divisors is an integer number (2893548).

Almost surely, 2^273293020 is an apocalyptic number.

273293020 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 273293020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416670912).

273293020 is an abundant number, since it is smaller than the sum of its proper divisors (560048804).

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

273293020 is a wasteful number, since it uses less digits than its factorization.

273293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 273293020 is about 16531.5764523532. The cubic root of 273293020 is about 648.9474246407.

The spelling of 273293020 in words is "two hundred seventy-three million, two hundred ninety-three thousand, twenty".