448418100 has 144 divisors (see below), whose sum is σ = 1442685440. Its totient is φ = 106790400.

The previous prime is 448418093. The next prime is 448418123. The reversal of 448418100 is 1814844.

It is a super-2 number, since 2×448418100² = 402157584815220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119046 + ... + 122754.

Almost surely, 2^448418100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721342720).

448418100 is an abundant number, since it is smaller than the sum of its proper divisors (994267340).

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

448418100 is a wasteful number, since it uses less digits than its factorization.

448418100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 448418100 is about 21175.8848693508. The cubic root of 448418100 is about 765.4104337788.

The spelling of 448418100 in words is "four hundred forty-eight million, four hundred eighteen thousand, one hundred".