438746880 has 576 divisors, whose sum is σ = 1780144128. Its totient is φ = 90439680.

The previous prime is 438746837. The next prime is 438746899. The reversal of 438746880 is 88647834.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9335017 + ... + 9335063.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^438746880 is an apocalyptic number.

438746880 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 438746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890072064).

438746880 is an abundant number, since it is smaller than the sum of its proper divisors (1341397248).

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

438746880 is a wasteful number, since it uses less digits than its factorization.

438746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 438746880 is about 20946.2855895741. The cubic root of 438746880 is about 759.8677516886.

The spelling of 438746880 in words is "four hundred thirty-eight million, seven hundred forty-six thousand, eight hundred eighty".