273846420 has 216 divisors, whose sum is σ = 905477664. Its totient is φ = 69455232.

The previous prime is 273846413. The next prime is 273846427. The reversal of 273846420 is 24648372.

273846420 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 4 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (273846413) and next prime (273846427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273846427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4087227 + ... + 4087293.

Almost surely, 2^273846420 is an apocalyptic number.

273846420 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 273846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452738832).

273846420 is an abundant number, since it is smaller than the sum of its proper divisors (631631244).

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

273846420 is a wasteful number, since it uses less digits than its factorization.

273846420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 273846420 is about 16548.3056534498. The cubic root of 273846420 is about 649.3851542909.

The spelling of 273846420 in words is "two hundred seventy-three million, eight hundred forty-six thousand, four hundred twenty".