438415925248 has 112 divisors (see below), whose sum is σ = 1013302967040. Its totient is φ = 185779224576.

The previous prime is 438415925161. The next prime is 438415925281. The reversal of 438415925248 is 842529514834.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×438415925248² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060665 + ... + 5146567.

It is an arithmetic number, because the mean of its divisors is an integer number (9047347920).

Almost surely, 2^438415925248 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 438415925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506651483520).

438415925248 is an abundant number, since it is smaller than the sum of its proper divisors (574887041792).

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

438415925248 is an frugal number, since it uses more digits than its factorization.

438415925248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86025 (or 86001 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 55.

The spelling of 438415925248 in words is "four hundred thirty-eight billion, four hundred fifteen million, nine hundred twenty-five thousand, two hundred forty-eight".