401167616 has 72 divisors (see below), whose sum is σ = 843284904. Its totient is φ = 190218240.

The previous prime is 401167601. The next prime is 401167619. The reversal of 401167616 is 616761104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142086400 + 259081216 = 11920^2 + 16096^2 .

It is a super-2 number, since 2×401167616² = 321870912254246912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401167619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387836 + ... + 388868.

Almost surely, 2^401167616 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 401167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421642452).

401167616 is an abundant number, since it is smaller than the sum of its proper divisors (442117288).

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

401167616 is a wasteful number, since it uses less digits than its factorization.

401167616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 401167616 is about 20029.1691290478. The cubic root of 401167616 is about 737.5225256358.

The spelling of 401167616 in words is "four hundred one million, one hundred sixty-seven thousand, six hundred sixteen".