427291200 has 504 divisors, whose sum is σ = 1811397952. Its totient is φ = 97044480.

The previous prime is 427291187. The next prime is 427291201. The reversal of 427291200 is 2192724.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (427291201) 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, 2721522 + ... + 2721678.

Almost surely, 2^427291200 is an apocalyptic number.

427291200 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 427291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905698976).

427291200 is an abundant number, since it is smaller than the sum of its proper divisors (1384106752).

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

427291200 is a wasteful number, since it uses less digits than its factorization.

427291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 427291200 is about 20671.0231967361. The cubic root of 427291200 is about 753.1959617599.

The spelling of 427291200 in words is "four hundred twenty-seven million, two hundred ninety-one thousand, two hundred".