448462000 has 160 divisors (see below), whose sum is σ = 1255348224. Its totient is φ = 151776000.

The previous prime is 448461961. The next prime is 448462013. The reversal of 448462000 is 264844.

It is a super-2 number, since 2×448462000² = 402236330888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 448462000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441845 + ... + 1442155.

Almost surely, 2^448462000 is an apocalyptic number.

448462000 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 448462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627674112).

448462000 is an abundant number, since it is smaller than the sum of its proper divisors (806886224).

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

448462000 is a wasteful number, since it uses less digits than its factorization.

448462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 448462000 is about 21176.9214004302. The cubic root of 448462000 is about 765.4354107825.

The spelling of 448462000 in words is "four hundred forty-eight million, four hundred sixty-two thousand".