427483200 has 336 divisors, whose sum is σ = 1508028480. Its totient is φ = 105799680.

The previous prime is 427483187. The next prime is 427483219. The reversal of 427483200 is 2384724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5150359 + ... + 5150441.

It is an arithmetic number, because the mean of its divisors is an integer number (4488180).

Almost surely, 2^427483200 is an apocalyptic number.

427483200 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 427483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754014240).

427483200 is an abundant number, since it is smaller than the sum of its proper divisors (1080545280).

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

427483200 is a wasteful number, since it uses less digits than its factorization.

427483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 427483200 is about 20675.6668574438. Note that the first 3 decimals coincide. The cubic root of 427483200 is about 753.3087591291.

The spelling of 427483200 in words is "four hundred twenty-seven million, four hundred eighty-three thousand, two hundred".