400504500 has 480 divisors, whose sum is σ = 1522160640. Its totient is φ = 90720000.

The previous prime is 400504463. The next prime is 400504501. The reversal of 400504500 is 5405004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400504501) 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 159 ways as a sum of consecutive naturals, for example, 12919485 + ... + 12919515.

It is an arithmetic number, because the mean of its divisors is an integer number (3171168).

Almost surely, 2^400504500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761080320).

400504500 is an abundant number, since it is smaller than the sum of its proper divisors (1121656140).

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

400504500 is a wasteful number, since it uses less digits than its factorization.

400504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 400504500 is about 20012.6085256270. The cubic root of 400504500 is about 737.1159352371.

Adding to 400504500 its reverse (5405004), we get a palindrome (405909504).

The spelling of 400504500 in words is "four hundred million, five hundred four thousand, five hundred".