438391980 has 192 divisors, whose sum is σ = 1480913280. Its totient is φ = 107025408.

The previous prime is 438391969. The next prime is 438392011. The reversal of 438391980 is 89193834.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1382782 + ... + 1383098.

It is an arithmetic number, because the mean of its divisors is an integer number (7713090).

Almost surely, 2^438391980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438391980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740456640).

438391980 is an abundant number, since it is smaller than the sum of its proper divisors (1042521300).

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

438391980 is a wasteful number, since it uses less digits than its factorization.

438391980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 438391980 is about 20937.8122066275. The cubic root of 438391980 is about 759.6628121031.

The spelling of 438391980 in words is "four hundred thirty-eight million, three hundred ninety-one thousand, nine hundred eighty".