401600016 has 30 divisors (see below), whose sum is σ = 1123922670. Its totient is φ = 133866624.

The previous prime is 401600011. The next prime is 401600021. The reversal of 401600016 is 610006104.

It is an interprime number because it is at equal distance from previous prime (401600011) and next prime (401600021).

It can be written as a sum of positive squares in only one way, i.e., 400160016 + 1440000 = 20004^2 + 1200^2 .

It is a super-2 number, since 2×401600016² = 322565145702400512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401600011) 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, 1394301 + ... + 1394588.

It is an arithmetic number, because the mean of its divisors is an integer number (37464089).

Almost surely, 2^401600016 is an apocalyptic number.

It is an amenable number.

401600016 is an abundant number, since it is smaller than the sum of its proper divisors (722322654).

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

401600016 is a wasteful number, since it uses less digits than its factorization.

401600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788903 (or 2788894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401600016 is about 20039.9604790029. The cubic root of 401600016 is about 737.7874109509.

It can be divided in two parts, 4016000 and 16, that added together give a square (4016016 = 2004²).

The spelling of 401600016 in words is "four hundred one million, six hundred thousand, sixteen".