401644512 has 36 divisors (see below), whose sum is σ = 1142177400. Its totient is φ = 133881408.

The previous prime is 401644511. The next prime is 401644517. The reversal of 401644512 is 215446104.

401644512 is a `hidden beast` number, since 4 + 0 + 1 + 644 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×401644512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401644511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 697012 + ... + 697587.

It is an arithmetic number, because the mean of its divisors is an integer number (31727150).

Almost surely, 2^401644512 is an apocalyptic number.

It is an amenable number.

401644512 is an abundant number, since it is smaller than the sum of its proper divisors (740532888).

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

401644512 is a wasteful number, since it uses less digits than its factorization.

401644512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394615 (or 1394604 counting only the distinct ones).

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

The square root of 401644512 is about 20041.0706300836. The cubic root of 401644512 is about 737.8146581081.

The spelling of 401644512 in words is "four hundred one million, six hundred forty-four thousand, five hundred twelve".