400424024 has 128 divisors (see below), whose sum is σ = 1041223680. Its totient is φ = 139276800.

The previous prime is 400424023. The next prime is 400424029. The reversal of 400424024 is 420424004.

It is a junction number, because it is equal to n+sod(n) for n = 400423987 and 400424005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400424023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247442 + ... + 249054.

It is an arithmetic number, because the mean of its divisors is an integer number (8134560).

Almost surely, 2^400424024 is an apocalyptic number.

400424024 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 400424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520611840).

400424024 is an abundant number, since it is smaller than the sum of its proper divisors (640799656).

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

400424024 is a wasteful number, since it uses less digits than its factorization.

400424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 400424024 is about 20010.5977921700. The cubic root of 400424024 is about 737.0665607477.

Subtracting from 400424024 its sum of digits (20), we obtain a palindrome (400424004).

Adding to 400424024 its reverse (420424004), we get a palindrome (820848028).

It can be divided in two parts, 400 and 424024, that added together give a palindrome (424424).

The spelling of 400424024 in words is "four hundred million, four hundred twenty-four thousand, twenty-four".