427392000 has 528 divisors, whose sum is σ = 1793368512. Its totient is φ = 95846400.

The previous prime is 427391999. The next prime is 427392029. The reversal of 427392000 is 293724.

427392000 is a `hidden beast` number, since 427 + 39 + 200 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8063974 + ... + 8064026.

Almost surely, 2^427392000 is an apocalyptic number.

427392000 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 427392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896684256).

427392000 is an abundant number, since it is smaller than the sum of its proper divisors (1365976512).

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

427392000 is a wasteful number, since it uses less digits than its factorization.

427392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 427392000 is about 20673.4612486637. The cubic root of 427392000 is about 753.2551845909.

The spelling of 427392000 in words is "four hundred twenty-seven million, three hundred ninety-two thousand".