400242240 has 168 divisors, whose sum is σ = 1421392128. Its totient is φ = 103265280.

The previous prime is 400242217. The next prime is 400242257. The reversal of 400242240 is 42242004.

400242240 is a `hidden beast` number, since 400 + 24 + 2 + 240 = 666.

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 23 ways as a sum of consecutive naturals, for example, 87039 + ... + 91521.

Almost surely, 2^400242240 is an apocalyptic number.

400242240 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 400242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710696064).

400242240 is an abundant number, since it is smaller than the sum of its proper divisors (1021149888).

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

400242240 is a wasteful number, since it uses less digits than its factorization.

400242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400242240 is about 20006.0550833991. The cubic root of 400242240 is about 736.9550063449.

Adding to 400242240 its reverse (42242004), we get a palindrome (442484244).

The spelling of 400242240 in words is "four hundred million, two hundred forty-two thousand, two hundred forty".