427295232 has 240 divisors, whose sum is σ = 1519277760. Its totient is φ = 112582656.

The previous prime is 427295159. The next prime is 427295233. The reversal of 427295232 is 232592724.

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 (427295233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418819 + ... + 419837.

It is an arithmetic number, because the mean of its divisors is an integer number (6330324).

Almost surely, 2^427295232 is an apocalyptic number.

427295232 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 427295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

427295232 is an abundant number, since it is smaller than the sum of its proper divisors (1091982528).

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

427295232 is a wasteful number, since it uses less digits than its factorization.

427295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 427295232 is about 20671.1207243342. The cubic root of 427295232 is about 753.1983308520.

It can be divided in two parts, 42729 and 5232, that added together give a square (47961 = 219²).

The spelling of 427295232 in words is "four hundred twenty-seven million, two hundred ninety-five thousand, two hundred thirty-two".