448938315 has 64 divisors (see below), whose sum is σ = 934456320. Its totient is φ = 200206080.

The previous prime is 448938307. The next prime is 448938331. The reversal of 448938315 is 513839844.

It is not a de Polignac number, because 448938315 - 2³ = 448938307 is a prime.

It is a super-2 number, since 2×448938315² = 403091221350078450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32952 + ... + 44538.

It is an arithmetic number, because the mean of its divisors is an integer number (14600880).

Almost surely, 2^448938315 is an apocalyptic number.

448938315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

448938315 is an abundant number, since it is smaller than the sum of its proper divisors (485518005).

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

448938315 is a wasteful number, since it uses less digits than its factorization.

448938315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11643 counting only the distinct ones).

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

The square root of 448938315 is about 21188.1645028539. The cubic root of 448938315 is about 765.7063065450.

The spelling of 448938315 in words is "four hundred forty-eight million, nine hundred thirty-eight thousand, three hundred fifteen".