400116024 has 264 divisors, whose sum is σ = 1413625080. Its totient is φ = 103926240.

The previous prime is 400115959. The next prime is 400116043. The reversal of 400116024 is 420611004.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 400115988 and 400116006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 36374179 + ... + 36374189.

Almost surely, 2^400116024 is an apocalyptic number.

400116024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400116024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706812540).

400116024 is an abundant number, since it is smaller than the sum of its proper divisors (1013509056).

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

400116024 is an equidigital number, since it uses as much as digits as its factorization.

400116024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400116024 is about 20002.9003896935. The cubic root of 400116024 is about 736.8775321864.

Adding to 400116024 its reverse (420611004), we get a palindrome (820727028).

The spelling of 400116024 in words is "four hundred million, one hundred sixteen thousand, twenty-four".