400402024 has 64 divisors (see below), whose sum is σ = 843955200. Its totient is φ = 176529600.

The previous prime is 400402021. The next prime is 400402027. The reversal of 400402024 is 420204004.

It is an interprime number because it is at equal distance from previous prime (400402021) and next prime (400402027).

It is a junction number, because it is equal to n+sod(n) for n = 400401989 and 400402007.

It is not an unprimeable number, because it can be changed into a prime (400402021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541447 + ... + 542185.

It is an arithmetic number, because the mean of its divisors is an integer number (13186800).

Almost surely, 2^400402024 is an apocalyptic number.

400402024 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 400402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421977600).

400402024 is an abundant number, since it is smaller than the sum of its proper divisors (443553176).

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

400402024 is a wasteful number, since it uses less digits than its factorization.

400402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400402024 is about 20010.0480759043. The cubic root of 400402024 is about 737.0530619228.

Adding to 400402024 its reverse (420204004), we get a palindrome (820606028).

The spelling of 400402024 in words is "four hundred million, four hundred two thousand, twenty-four".