448476400 has 30 divisors (see below), whose sum is σ = 1077465512. Its totient is φ = 179390400.

The previous prime is 448476389. The next prime is 448476401. The reversal of 448476400 is 4674844.

It is a super-2 number, since 2×448476400² = 402262162713920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448476400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448476401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560196 + ... + 560995.

Almost surely, 2^448476400 is an apocalyptic number.

448476400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448476400 is an abundant number, since it is smaller than the sum of its proper divisors (628989112).

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

448476400 is a wasteful number, since it uses less digits than its factorization.

448476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121209 (or 1121198 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 448476400 is about 21177.2613904631. The cubic root of 448476400 is about 765.4436033398.

The spelling of 448476400 in words is "four hundred forty-eight million, four hundred seventy-six thousand, four hundred".