448310400 has 384 divisors, whose sum is σ = 1625520960. Its totient is φ = 108134400.

The previous prime is 448310363. The next prime is 448310431. The reversal of 448310400 is 4013844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6691167 + ... + 6691233.

Almost surely, 2^448310400 is an apocalyptic number.

448310400 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 448310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812760480).

448310400 is an abundant number, since it is smaller than the sum of its proper divisors (1177210560).

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

448310400 is a wasteful number, since it uses less digits than its factorization.

448310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 448310400 is about 21173.3417296373. The cubic root of 448310400 is about 765.3491507156.

The spelling of 448310400 in words is "four hundred forty-eight million, three hundred ten thousand, four hundred".