401544672 has 96 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 123594240.

The previous prime is 401544587. The next prime is 401544697. The reversal of 401544672 is 276445104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401544672² = 322476247223175168, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60897 + ... + 67167.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^401544672 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 401544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

401544672 is an abundant number, since it is smaller than the sum of its proper divisors (736447008).

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

401544672 is a wasteful number, since it uses less digits than its factorization.

401544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 401544672 is about 20038.5795903802. The cubic root of 401544672 is about 737.7535182047.

Adding to 401544672 its reverse (276445104), we get a palindrome (677989776).

The spelling of 401544672 in words is "four hundred one million, five hundred forty-four thousand, six hundred seventy-two".