438068400 has 360 divisors, whose sum is σ = 1766886912. Its totient is φ = 90816000.

The previous prime is 438068381. The next prime is 438068417. The reversal of 438068400 is 4860834.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016185 + ... + 1016615.

Almost surely, 2^438068400 is an apocalyptic number.

438068400 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 438068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883443456).

438068400 is an abundant number, since it is smaller than the sum of its proper divisors (1328818512).

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

438068400 is a wasteful number, since it uses less digits than its factorization.

438068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 438068400 is about 20930.0836118731. The cubic root of 438068400 is about 759.4758620620.

The spelling of 438068400 in words is "four hundred thirty-eight million, sixty-eight thousand, four hundred".