448502400 has 384 divisors, whose sum is σ = 1707480000. Its totient is φ = 114831360.

The previous prime is 448502393. The next prime is 448502407. The reversal of 448502400 is 4205844.

It is an interprime number because it is at equal distance from previous prime (448502393) and next prime (448502407).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448502407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505511 + ... + 2505689.

Almost surely, 2^448502400 is an apocalyptic number.

448502400 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 448502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853740000).

448502400 is an abundant number, since it is smaller than the sum of its proper divisors (1258977600).

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

448502400 is a wasteful number, since it uses less digits than its factorization.

448502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 448502400 is about 21177.8752475313. The cubic root of 448502400 is about 765.4583950131.

The spelling of 448502400 in words is "four hundred forty-eight million, five hundred two thousand, four hundred".