401326416 has 60 divisors (see below), whose sum is σ = 1125225972. Its totient is φ = 133529088.

The previous prime is 401326411. The next prime is 401326451. The reversal of 401326416 is 614623104.

401326416 is a `hidden beast` number, since 4 + 0 + 13 + 2 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 395850816 = 2340^2 + 19896^2 .

It is a super-2 number, since 2×401326416² = 322125784358810112, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 401326416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401326411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86590 + ... + 91106.

Almost surely, 2^401326416 is an apocalyptic number.

It is an amenable number.

401326416 is an abundant number, since it is smaller than the sum of its proper divisors (723899556).

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

401326416 is a wasteful number, since it uses less digits than its factorization.

401326416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 401326416 is about 20033.1329551820. The cubic root of 401326416 is about 737.6198275467.

The spelling of 401326416 in words is "four hundred one million, three hundred twenty-six thousand, four hundred sixteen".