438286680 has 512 divisors, whose sum is σ = 1741824000. Its totient is φ = 97044480.

The previous prime is 438286663. The next prime is 438286759. The reversal of 438286680 is 86682834.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8269534 + ... + 8269586.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^438286680 is an apocalyptic number.

438286680 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 438286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

438286680 is an abundant number, since it is smaller than the sum of its proper divisors (1303537320).

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

438286680 is a wasteful number, since it uses less digits than its factorization.

438286680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 438286680 is about 20935.2974662411. The cubic root of 438286680 is about 759.6019845764.

The spelling of 438286680 in words is "four hundred thirty-eight million, two hundred eighty-six thousand, six hundred eighty".