1504225600 has 168 divisors, whose sum is σ = 3841504128. Its totient is φ = 579379200.

The previous prime is 1504225577. The next prime is 1504225601. The reversal of 1504225600 is 65224051.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504225601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6241480 + ... + 6241720.

It is an arithmetic number, because the mean of its divisors is an integer number (22866096).

Almost surely, 2^1504225600 is an apocalyptic number.

1504225600 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 1504225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920752064).

1504225600 is an abundant number, since it is smaller than the sum of its proper divisors (2337278528).

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

1504225600 is a wasteful number, since it uses less digits than its factorization.

1504225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1504225600 is about 38784.3473581805. The cubic root of 1504225600 is about 1145.7881468756.

Adding to 1504225600 its reverse (65224051), we get a palindrome (1569449651).

The spelling of 1504225600 in words is "one billion, five hundred four million, two hundred twenty-five thousand, six hundred".