1504050400 has 72 divisors (see below), whose sum is σ = 3682967400. Its totient is φ = 599784960.

The previous prime is 1504050397. The next prime is 1504050419. The reversal of 1504050400 is 40504051.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 276507 + ... + 281893.

It is an arithmetic number, because the mean of its divisors is an integer number (51152325).

Almost surely, 2^1504050400 is an apocalyptic number.

1504050400 is a gapful number since it is divisible by the number (10) 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 1504050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841483700).

1504050400 is an abundant number, since it is smaller than the sum of its proper divisors (2178917000).

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

1504050400 is a wasteful number, since it uses less digits than its factorization.

1504050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1504050400 is about 38782.0886492721. The cubic root of 1504050400 is about 1145.7436611110.

Adding to 1504050400 its reverse (40504051), we get a palindrome (1544554451).

The spelling of 1504050400 in words is "one billion, five hundred four million, fifty thousand, four hundred".