427974000 has 80 divisors (see below), whose sum is σ = 1379807520. Its totient is φ = 114124800.

The previous prime is 427973989. The next prime is 427974007. The reversal of 427974000 is 479724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427974007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29665 + ... + 41664.

It is an arithmetic number, because the mean of its divisors is an integer number (17247594).

Almost surely, 2^427974000 is an apocalyptic number.

427974000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427974000 is an abundant number, since it is smaller than the sum of its proper divisors (951833520).

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

427974000 is a wasteful number, since it uses less digits than its factorization.

427974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71355 (or 71339 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 427974000 is about 20687.5324773159. The cubic root of 427974000 is about 753.5969439700.

The spelling of 427974000 in words is "four hundred twenty-seven million, nine hundred seventy-four thousand".