438525472 has 288 divisors, whose sum is σ = 1244315520. Its totient is φ = 147087360.

The previous prime is 438525431. The next prime is 438525499. The reversal of 438525472 is 274525834.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (268800) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15121554 + ... + 15121582.

It is an arithmetic number, because the mean of its divisors is an integer number (4320540).

Almost surely, 2^438525472 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 438525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622157760).

438525472 is an abundant number, since it is smaller than the sum of its proper divisors (805790048).

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

438525472 is a wasteful number, since it uses less digits than its factorization.

438525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 438525472 is about 20940.9997851105. Note that the first 3 decimals coincide. The cubic root of 438525472 is about 759.7399110019.

The spelling of 438525472 in words is "four hundred thirty-eight million, five hundred twenty-five thousand, four hundred seventy-two".