427832064 has 288 divisors, whose sum is σ = 1465793280. Its totient is φ = 121651200.

The previous prime is 427832029. The next prime is 427832071. The reversal of 427832064 is 460238724.

427832064 is a `hidden beast` number, since 4 + 278 + 320 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292379 + ... + 1292709.

It is an arithmetic number, because the mean of its divisors is an integer number (5089560).

Almost surely, 2^427832064 is an apocalyptic number.

427832064 is a gapful number since it is divisible by the number (44) 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 427832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732896640).

427832064 is an abundant number, since it is smaller than the sum of its proper divisors (1037961216).

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

427832064 is a wasteful number, since it uses less digits than its factorization.

427832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 427832064 is about 20684.1017208870. The cubic root of 427832064 is about 753.5136255421.

The spelling of 427832064 in words is "four hundred twenty-seven million, eight hundred thirty-two thousand, sixty-four".