427137984 has 336 divisors, whose sum is σ = 1564355520. Its totient is φ = 108380160.

The previous prime is 427137983. The next prime is 427138067. The reversal of 427137984 is 489731724.

427137984 is a `hidden beast` number, since 4 + 271 + 379 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427137983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519924 + ... + 1520204.

It is an arithmetic number, because the mean of its divisors is an integer number (4655820).

Almost surely, 2^427137984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782177760).

427137984 is an abundant number, since it is smaller than the sum of its proper divisors (1137217536).

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

427137984 is a wasteful number, since it uses less digits than its factorization.

427137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 427137984 is about 20667.3168069781. The cubic root of 427137984 is about 753.1059252161.

The spelling of 427137984 in words is "four hundred twenty-seven million, one hundred thirty-seven thousand, nine hundred eighty-four".