438705900 has 162 divisors, whose sum is σ = 1408683276. Its totient is φ = 114192000.

The previous prime is 438705899. The next prime is 438705901. The reversal of 438705900 is 9507834.

It is an interprime number because it is at equal distance from previous prime (438705899) and next prime (438705901).

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 (438705901) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3348835 + ... + 3348965.

Almost surely, 2^438705900 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 438705900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704341638).

438705900 is an abundant number, since it is smaller than the sum of its proper divisors (969977376).

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

438705900 is a wasteful number, since it uses less digits than its factorization.

438705900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 438705900 is about 20945.3073503351. The cubic root of 438705900 is about 759.8440931348.

It can be divided in two parts, 43870 and 5900, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 438705900 in words is "four hundred thirty-eight million, seven hundred five thousand, nine hundred".