438900000 has 576 divisors, whose sum is σ = 1889879040. Its totient is φ = 86400000.

The previous prime is 438899987. The next prime is 438900013. The reversal of 438900000 is 9834.

It is an interprime number because it is at equal distance from previous prime (438899987) and next prime (438900013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23099991 + ... + 23100009.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^438900000 is an apocalyptic number.

438900000 is a gapful number since it is divisible by the number (40) 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 438900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

438900000 is an abundant number, since it is smaller than the sum of its proper divisors (1450979040).

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

438900000 is a wasteful number, since it uses less digits than its factorization.

438900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 438900000 is about 20949.9403340439. The cubic root of 438900000 is about 759.9561378195.

Adding to 438900000 its reverse (9834), we get a palindrome (438909834).

The spelling of 438900000 in words is "four hundred thirty-eight million, nine hundred thousand".