448484000 has 48 divisors (see below), whose sum is σ = 1101935016. Its totient is φ = 179392000.

The previous prime is 448483991. The next prime is 448484033. The reversal of 448484000 is 484844.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35093776 + 413390224 = 5924^2 + 20332^2 .

It is a super-2 number, since 2×448484000² = 402275796512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 52061 + ... + 60060.

Almost surely, 2^448484000 is an apocalyptic number.

448484000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448484000 is an abundant number, since it is smaller than the sum of its proper divisors (653451016).

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

448484000 is a wasteful number, since it uses less digits than its factorization.

448484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112146 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 448484000 is about 21177.4408274465. The cubic root of 448484000 is about 765.4479271188.

The spelling of 448484000 in words is "four hundred forty-eight million, four hundred eighty-four thousand".