400114500 has 96 divisors (see below), whose sum is σ = 1173244800. Its totient is φ = 105955200.

The previous prime is 400114439. The next prime is 400114501. The reversal of 400114500 is 5411004.

It is a super-2 number, since 2×400114500² = 320183226220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400114500.

It is not an unprimeable number, because it can be changed into a prime (400114501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234651 + ... + 236349.

It is an arithmetic number, because the mean of its divisors is an integer number (12221300).

Almost surely, 2^400114500 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 400114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586622400).

400114500 is an abundant number, since it is smaller than the sum of its proper divisors (773130300).

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

400114500 is a wasteful number, since it uses less digits than its factorization.

400114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 400114500 is about 20002.8622951817. The cubic root of 400114500 is about 736.8765966221.

Adding to 400114500 its reverse (5411004), we get a palindrome (405525504).

The spelling of 400114500 in words is "four hundred million, one hundred fourteen thousand, five hundred".