400002504 has 64 divisors (see below), whose sum is σ = 1095137280. Its totient is φ = 120744000.

The previous prime is 400002461. The next prime is 400002509. The reversal of 400002504 is 405200004.

It is not an unprimeable number, because it can be changed into a prime (400002509) 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, 68749 + ... + 74339.

It is an arithmetic number, because the mean of its divisors is an integer number (17111520).

Almost surely, 2^400002504 is an apocalyptic number.

400002504 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 400002504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547568640).

400002504 is an abundant number, since it is smaller than the sum of its proper divisors (695134776).

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

400002504 is a wasteful number, since it uses less digits than its factorization.

400002504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 400002504 is about 20000.0625999020. The cubic root of 400002504 is about 736.8078371940.

Adding to 400002504 its reverse (405200004), we get a palindrome (805202508).

The spelling of 400002504 in words is "four hundred million, two thousand, five hundred four".