438527952 has 80 divisors (see below), whose sum is σ = 1268807680. Its totient is φ = 145006848.

The previous prime is 438527951. The next prime is 438527977. The reversal of 438527952 is 259725834.

438527952 is a `hidden beast` number, since 4 + 38 + 527 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 438527898 and 438527907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438527951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50868 + ... + 58860.

It is an arithmetic number, because the mean of its divisors is an integer number (15860096).

Almost surely, 2^438527952 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 438527952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634403840).

438527952 is an abundant number, since it is smaller than the sum of its proper divisors (830279728).

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

438527952 is a wasteful number, since it uses less digits than its factorization.

438527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8125 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 438527952 is about 20941.0589990096. The cubic root of 438527952 is about 759.7413431889.

The spelling of 438527952 in words is "four hundred thirty-eight million, five hundred twenty-seven thousand, nine hundred fifty-two".