427093200 has 360 divisors, whose sum is σ = 1583112960. Its totient is φ = 106444800.

The previous prime is 427093189. The next prime is 427093201. The reversal of 427093200 is 2390724.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427093201) 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, 4798756 + ... + 4798844.

It is an arithmetic number, because the mean of its divisors is an integer number (4397536).

Almost surely, 2^427093200 is an apocalyptic number.

427093200 is a gapful number since it is divisible by the number (40) 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 427093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791556480).

427093200 is an abundant number, since it is smaller than the sum of its proper divisors (1156019760).

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

427093200 is a wasteful number, since it uses less digits than its factorization.

427093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 427093200 is about 20666.2333287902. The cubic root of 427093200 is about 753.0796040772.

The spelling of 427093200 in words is "four hundred twenty-seven million, ninety-three thousand, two hundred".