448329440 has 192 divisors, whose sum is σ = 1249758720. Its totient is φ = 150405120.

The previous prime is 448329367. The next prime is 448329467. The reversal of 448329440 is 44923844.

It is a junction number, because it is equal to n+sod(n) for n = 448329394 and 448329403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095956 + ... + 1096364.

It is an arithmetic number, because the mean of its divisors is an integer number (6509160).

Almost surely, 2^448329440 is an apocalyptic number.

448329440 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 448329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624879360).

448329440 is an abundant number, since it is smaller than the sum of its proper divisors (801429280).

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

448329440 is a wasteful number, since it uses less digits than its factorization.

448329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 448329440 is about 21173.7913468514. The cubic root of 448329440 is about 765.3599855015.

The spelling of 448329440 in words is "four hundred forty-eight million, three hundred twenty-nine thousand, four hundred forty".