438127920 has 160 divisors (see below), whose sum is σ = 1574899200. Its totient is φ = 111741696.

The previous prime is 438127913. The next prime is 438127931. The reversal of 438127920 is 29721834.

438127920 is a `hidden beast` number, since 4 + 381 + 279 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45271 + ... + 54089.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^438127920 is an apocalyptic number.

438127920 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 438127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

438127920 is an abundant number, since it is smaller than the sum of its proper divisors (1136771280).

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

438127920 is a wasteful number, since it uses less digits than its factorization.

438127920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 438127920 is about 20931.5054403643. The cubic root of 438127920 is about 759.5102569618.

The spelling of 438127920 in words is "four hundred thirty-eight million, one hundred twenty-seven thousand, nine hundred twenty".