438425460 has 288 divisors, whose sum is σ = 1541030400. Its totient is φ = 103731840.

The previous prime is 438425459. The next prime is 438425479. The reversal of 438425460 is 64524834.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3154071 + ... + 3154209.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^438425460 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 438425460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

438425460 is an abundant number, since it is smaller than the sum of its proper divisors (1102604940).

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

438425460 is a wasteful number, since it uses less digits than its factorization.

438425460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 438425460 is about 20938.6117018297. The cubic root of 438425460 is about 759.6821500964.

The spelling of 438425460 in words is "four hundred thirty-eight million, four hundred twenty-five thousand, four hundred sixty".