438198400 has 96 divisors (see below), whose sum is σ = 1112043780. Its totient is φ = 170496000.

The previous prime is 438198391. The next prime is 438198403. The reversal of 438198400 is 4891834.

It can be written as a sum of positive squares in 6 ways, for example, as 235192896 + 203005504 = 15336^2 + 14248^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 438198400.

It is not an unprimeable number, because it can be changed into a prime (438198403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116550 + ... + 120250.

Almost surely, 2^438198400 is an apocalyptic number.

438198400 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 438198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556021890).

438198400 is an abundant number, since it is smaller than the sum of its proper divisors (673845380).

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

438198400 is a wasteful number, since it uses less digits than its factorization.

438198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 438198400 is about 20933.1889591624. The cubic root of 438198400 is about 759.5509813031.

The spelling of 438198400 in words is "four hundred thirty-eight million, one hundred ninety-eight thousand, four hundred".