448534800 has 480 divisors, whose sum is σ = 1937376000. Its totient is φ = 96215040.

The previous prime is 448534787. The next prime is 448534811. The reversal of 448534800 is 8435844.

448534800 is a `hidden beast` number, since 4 + 48 + 534 + 80 + 0 = 666.

It is a super-2 number, since 2×448534800² = 402366933622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285026 + ... + 1285374.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^448534800 is an apocalyptic number.

448534800 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 448534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968688000).

448534800 is an abundant number, since it is smaller than the sum of its proper divisors (1488841200).

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

448534800 is a wasteful number, since it uses less digits than its factorization.

448534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 448534800 is about 21178.6401829768. The cubic root of 448534800 is about 765.4768269135.

The spelling of 448534800 in words is "four hundred forty-eight million, five hundred thirty-four thousand, eight hundred".