401500116 has 72 divisors (see below), whose sum is σ = 1042641600. Its totient is φ = 130201344.

The previous prime is 401500103. The next prime is 401500117. The reversal of 401500116 is 611005104.

It is a super-2 number, since 2×401500116² = 322404686296026912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401500117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669985 + ... + 670583.

Almost surely, 2^401500116 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 401500116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521320800).

401500116 is an abundant number, since it is smaller than the sum of its proper divisors (641141484).

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

401500116 is a wasteful number, since it uses less digits than its factorization.

401500116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 401500116 is about 20037.4678040914. The cubic root of 401500116 is about 737.7262297825.

The spelling of 401500116 in words is "four hundred one million, five hundred thousand, one hundred sixteen".