401144448 has 64 divisors (see below), whose sum is σ = 1067915520. Its totient is φ = 133416960.

The previous prime is 401144437. The next prime is 401144453. The reversal of 401144448 is 844441104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×401144448² = 321833736322449408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232228 + ... + 233948.

It is an arithmetic number, because the mean of its divisors is an integer number (16686180).

Almost surely, 2^401144448 is an apocalyptic number.

401144448 is a gapful number since it is divisible by the number (48) 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 401144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533957760).

401144448 is an abundant number, since it is smaller than the sum of its proper divisors (666771072).

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

401144448 is a wasteful number, since it uses less digits than its factorization.

401144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 401144448 is about 20028.5907642051. The cubic root of 401144448 is about 737.5083277045.

The spelling of 401144448 in words is "four hundred one million, one hundred forty-four thousand, four hundred forty-eight".