427384800 has 108 divisors (see below), whose sum is σ = 1507091040. Its totient is φ = 113967360.

The previous prime is 427384799. The next prime is 427384807. The reversal of 427384800 is 8483724.

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 (427384807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22480 + ... + 36879.

Almost surely, 2^427384800 is an apocalyptic number.

427384800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427384800 is an abundant number, since it is smaller than the sum of its proper divisors (1079706240).

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

427384800 is a wasteful number, since it uses less digits than its factorization.

427384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59385 (or 59369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 427384800 is about 20673.2871116327. The cubic root of 427384800 is about 753.2509546975.

The spelling of 427384800 in words is "four hundred twenty-seven million, three hundred eighty-four thousand, eight hundred".