901448001 has 32 divisors (see below), whose sum is σ = 1446952320. Its totient is φ = 552448512.

The previous prime is 901447997. The next prime is 901448003. The reversal of 901448001 is 100844109.

It is not a de Polignac number, because 901448001 - 2² = 901447997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (901448003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100 + ... + 42573.

It is an arithmetic number, because the mean of its divisors is an integer number (45217260).

Almost surely, 2^901448001 is an apocalyptic number.

It is an amenable number.

901448001 is a deficient number, since it is larger than the sum of its proper divisors (545504319).

901448001 is a wasteful number, since it uses less digits than its factorization.

901448001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45742 (or 45736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 901448001 is about 30024.1236508245. The cubic root of 901448001 is about 966.0068959039.

The spelling of 901448001 in words is "nine hundred one million, four hundred forty-eight thousand, one".