400141800 has 288 divisors, whose sum is σ = 1420623360. Its totient is φ = 100800000.

The previous prime is 400141799. The next prime is 400141811. The reversal of 400141800 is 8141004.

It is a super-2 number, since 2×400141800² = 320226920214480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3961750 + ... + 3961850.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^400141800 is an apocalyptic number.

400141800 is a gapful number since it is divisible by the number (40) 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 400141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

400141800 is an abundant number, since it is smaller than the sum of its proper divisors (1020481560).

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

400141800 is a wasteful number, since it uses less digits than its factorization.

400141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 400141800 is about 20003.5446858801. The cubic root of 400141800 is about 736.8933553862.

Adding to 400141800 its reverse (8141004), we get a palindrome (408282804).

It can be divided in two parts, 40014 and 1800, that added together give a palindrome (41814).

The spelling of 400141800 in words is "four hundred million, one hundred forty-one thousand, eight hundred".