400411242 has 96 divisors (see below), whose sum is σ = 1129256640. Its totient is φ = 103995360.

The previous prime is 400411241. The next prime is 400411243. The reversal of 400411242 is 242114004.

It is an interprime number because it is at equal distance from previous prime (400411241) and next prime (400411243).

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 (400411241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22228 + ... + 35984.

It is an arithmetic number, because the mean of its divisors is an integer number (11763090).

Almost surely, 2^400411242 is an apocalyptic number.

400411242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400411242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564628320).

400411242 is an abundant number, since it is smaller than the sum of its proper divisors (728845398).

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

400411242 is a wasteful number, since it uses less digits than its factorization.

400411242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 400411242 is about 20010.2784088578. The cubic root of 400411242 is about 737.0587179906.

Adding to 400411242 its reverse (242114004), we get a palindrome (642525246).

The spelling of 400411242 in words is "four hundred million, four hundred eleven thousand, two hundred forty-two".