438852960 has 576 divisors, whose sum is σ = 1961511552. Its totient is φ = 86704128.

The previous prime is 438852941. The next prime is 438852989. The reversal of 438852960 is 69258834.

438852960 is a `hidden beast` number, since 43 + 88 + 529 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2227582 + ... + 2227778.

It is an arithmetic number, because the mean of its divisors is an integer number (3405402).

Almost surely, 2^438852960 is an apocalyptic number.

438852960 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 438852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980755776).

438852960 is an abundant number, since it is smaller than the sum of its proper divisors (1522658592).

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

438852960 is a wasteful number, since it uses less digits than its factorization.

438852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 438852960 is about 20948.8176277326. The cubic root of 438852960 is about 759.9289869013.

The spelling of 438852960 in words is "four hundred thirty-eight million, eight hundred fifty-two thousand, nine hundred sixty".