448350201 has 128 divisors (see below), whose sum is σ = 817152000. Its totient is φ = 240185088.

The previous prime is 448350193. The next prime is 448350209. The reversal of 448350201 is 102053844.

It is an interprime number because it is at equal distance from previous prime (448350193) and next prime (448350209).

It is not a de Polignac number, because 448350201 - 2³ = 448350193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (448350209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5675280 + ... + 5675358.

It is an arithmetic number, because the mean of its divisors is an integer number (6384000).

Almost surely, 2^448350201 is an apocalyptic number.

It is an amenable number.

448350201 is a deficient number, since it is larger than the sum of its proper divisors (368801799).

448350201 is a wasteful number, since it uses less digits than its factorization.

448350201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448350201 is about 21174.2815934803. The cubic root of 448350201 is about 765.3717992795.

The spelling of 448350201 in words is "four hundred forty-eight million, three hundred fifty thousand, two hundred one".