427321400 has 96 divisors (see below), whose sum is σ = 1140998400. Its totient is φ = 147196800.

The previous prime is 427321397. The next prime is 427321417. The reversal of 427321400 is 4123724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36689 + ... + 46911.

It is an arithmetic number, because the mean of its divisors is an integer number (11885400).

Almost surely, 2^427321400 is an apocalyptic number.

427321400 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 427321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570499200).

427321400 is an abundant number, since it is smaller than the sum of its proper divisors (713677000).

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

427321400 is a wasteful number, since it uses less digits than its factorization.

427321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 427321400 is about 20671.7536750030. The cubic root of 427321400 is about 753.2137060852.

The spelling of 427321400 in words is "four hundred twenty-seven million, three hundred twenty-one thousand, four hundred".