504002410400 has 36 divisors (see below), whose sum is σ = 1230395886342. Its totient is φ = 201600963840.

The previous prime is 504002410381. The next prime is 504002410403. The reversal of 504002410400 is 4014200405.

It can be written as a sum of positive squares in 3 ways, for example, as 326191761424 + 177810648976 = 571132^2 + 421676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (504002410403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315000707 + ... + 315002306.

Almost surely, 2^504002410400 is an apocalyptic number.

504002410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

504002410400 is an abundant number, since it is smaller than the sum of its proper divisors (726393475942).

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

504002410400 is a wasteful number, since it uses less digits than its factorization.

504002410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630003033 (or 630003020 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 504002410400 its reverse (4014200405), we get a palindrome (508016610805).

The spelling of 504002410400 in words is "five hundred four billion, two million, four hundred ten thousand, four hundred".