401533344 has 72 divisors (see below), whose sum is σ = 1145787552. Its totient is φ = 133384320.

The previous prime is 401533339. The next prime is 401533351. The reversal of 401533344 is 443335104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401533344² = 322458052687644672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87327 + ... + 91809.

It is an arithmetic number, because the mean of its divisors is an integer number (15913716).

Almost surely, 2^401533344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572893776).

401533344 is an abundant number, since it is smaller than the sum of its proper divisors (744254208).

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

401533344 is a wasteful number, since it uses less digits than its factorization.

401533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 401533344 is about 20038.2969336219. The cubic root of 401533344 is about 737.7465805370.

Adding to 401533344 its reverse (443335104), we get a palindrome (844868448).

The spelling of 401533344 in words is "four hundred one million, five hundred thirty-three thousand, three hundred forty-four".