438125280 has 96 divisors (see below), whose sum is σ = 1412256384. Its totient is φ = 114110976.

The previous prime is 438125279. The next prime is 438125291. The reversal of 438125280 is 82521834.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10027 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (14711004).

Almost surely, 2^438125280 is an apocalyptic number.

438125280 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 438125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706128192).

438125280 is an abundant number, since it is smaller than the sum of its proper divisors (974131104).

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

438125280 is a wasteful number, since it uses less digits than its factorization.

438125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21288 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 438125280 is about 20931.4423774378. The cubic root of 438125280 is about 759.5087314476.

The spelling of 438125280 in words is "four hundred thirty-eight million, one hundred twenty-five thousand, two hundred eighty".