401067672 has 64 divisors (see below), whose sum is σ = 1071688320. Its totient is φ = 124635648.

The previous prime is 401067671. The next prime is 401067673. The reversal of 401067672 is 276760104.

It is an interprime number because it is at equal distance from previous prime (401067671) and next prime (401067673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401067671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39063 + ... + 48249.

It is an arithmetic number, because the mean of its divisors is an integer number (16745130).

Almost surely, 2^401067672 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 401067672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535844160).

401067672 is an abundant number, since it is smaller than the sum of its proper divisors (670620648).

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

401067672 is a wasteful number, since it uses less digits than its factorization.

401067672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 401067672 is about 20026.6740124265. The cubic root of 401067672 is about 737.4612735386.

The spelling of 401067672 in words is "four hundred one million, sixty-seven thousand, six hundred seventy-two".