427969152 has 288 divisors, whose sum is σ = 1439359740. Its totient is φ = 120913920.

The previous prime is 427969151. The next prime is 427969159. The reversal of 427969152 is 251969724.

427969152 is a `hidden beast` number, since 427 + 96 + 91 + 52 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 415181376 = 3576^2 + 20376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 427969098 and 427969107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427969151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10438252 + ... + 10438292.

Almost surely, 2^427969152 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 427969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719679870).

427969152 is an abundant number, since it is smaller than the sum of its proper divisors (1011390588).

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

427969152 is a wasteful number, since it uses less digits than its factorization.

427969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 427969152 is about 20687.4153049626. The cubic root of 427969152 is about 753.5940984297.

The spelling of 427969152 in words is "four hundred twenty-seven million, nine hundred sixty-nine thousand, one hundred fifty-two".