427285152 has 384 divisors, whose sum is σ = 1532805120. Its totient is φ = 113218560.

The previous prime is 427285151. The next prime is 427285169. The reversal of 427285152 is 251582724.

It is a happy number.

427285152 is a `hidden beast` number, since 427 + 2 + 85 + 152 = 666.

It is a super-2 number, since 2×427285152² = 365145202239326208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (427285151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8061958 + ... + 8062010.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^427285152 is an apocalyptic number.

427285152 is a gapful number since it is divisible by the number (42) 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 427285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766402560).

427285152 is an abundant number, since it is smaller than the sum of its proper divisors (1105519968).

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

427285152 is a wasteful number, since it uses less digits than its factorization.

427285152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 427285152 is about 20670.8769044760. The cubic root of 427285152 is about 753.1924080939.

The spelling of 427285152 in words is "four hundred twenty-seven million, two hundred eighty-five thousand, one hundred fifty-two".