448962440 has 64 divisors (see below), whose sum is σ = 1054686960. Its totient is φ = 171832320.

The previous prime is 448962421. The next prime is 448962467. The reversal of 448962440 is 44269844.

It can be written as a sum of positive squares in 8 ways, for example, as 193154404 + 255808036 = 13898^2 + 15994^2 .

It is a super-3 number, since 3×448962440³ (a number of 27 digits) contains 333 as substring.

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, 87794 + ... + 92766.

Almost surely, 2^448962440 is an apocalyptic number.

448962440 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 448962440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527343480).

448962440 is an abundant number, since it is smaller than the sum of its proper divisors (605724520).

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

448962440 is a wasteful number, since it uses less digits than its factorization.

448962440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 448962440 is about 21188.7337988847. The cubic root of 448962440 is about 765.7200221144.

The spelling of 448962440 in words is "four hundred forty-eight million, nine hundred sixty-two thousand, four hundred forty".