438225624 has 96 divisors (see below), whose sum is σ = 1262083680. Its totient is φ = 137060352.

The previous prime is 438225617. The next prime is 438225629. The reversal of 438225624 is 426522834.

438225624 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 25 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438225629) 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, 85272 + ... + 90264.

It is an arithmetic number, because the mean of its divisors is an integer number (13146705).

Almost surely, 2^438225624 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 438225624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631041840).

438225624 is an abundant number, since it is smaller than the sum of its proper divisors (823858056).

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

438225624 is a wasteful number, since it uses less digits than its factorization.

438225624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5074 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 438225624 is about 20933.8392083249. The cubic root of 438225624 is about 759.5667105463.

It can be divided in two parts, 4382256 and 24, that added together give a triangular number (4382280 = T₂₉₆₀).

The spelling of 438225624 in words is "four hundred thirty-eight million, two hundred twenty-five thousand, six hundred twenty-four".