438125760 has 140 divisors (see below), whose sum is σ = 1558582608. Its totient is φ = 116826624.

The previous prime is 438125749. The next prime is 438125761. The reversal of 438125760 is 67521834.

438125760 is a `hidden beast` number, since 4 + 3 + 81 + 2 + 576 + 0 = 666.

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 (438125761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17469 + ... + 34371.

Almost surely, 2^438125760 is an apocalyptic number.

438125760 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 438125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779291304).

438125760 is an abundant number, since it is smaller than the sum of its proper divisors (1120456848).

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

438125760 is a wasteful number, since it uses less digits than its factorization.

438125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 438125760 is about 20931.4538434386. The cubic root of 438125760 is about 759.5090088143.

The spelling of 438125760 in words is "four hundred thirty-eight million, one hundred twenty-five thousand, seven hundred sixty".