438693120 has 216 divisors, whose sum is σ = 1535808456. Its totient is φ = 115605504.

The previous prime is 438693119. The next prime is 438693149. The reversal of 438693120 is 21396834.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 431974656 = 2592^2 + 20784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301592 + ... + 1301928.

Almost surely, 2^438693120 is an apocalyptic number.

438693120 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 438693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767904228).

438693120 is an abundant number, since it is smaller than the sum of its proper divisors (1097115336).

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

438693120 is a wasteful number, since it uses less digits than its factorization.

438693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 438693120 is about 20945.0022678442. The cubic root of 438693120 is about 759.8367146900.

The spelling of 438693120 in words is "four hundred thirty-eight million, six hundred ninety-three thousand, one hundred twenty".