1504104480 has 72 divisors (see below), whose sum is σ = 5132761452. Its totient is φ = 401094144.

The previous prime is 1504104479. The next prime is 1504104491. The reversal of 1504104480 is 844014051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1486565136 + 17539344 = 38556^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520819 + ... + 523698.

Almost surely, 2^1504104480 is an apocalyptic number.

1504104480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1504104480 is an abundant number, since it is smaller than the sum of its proper divisors (3628656972).

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

1504104480 is a wasteful number, since it uses less digits than its factorization.

1504104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044538 (or 1044527 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1504104480 is about 38782.7858720851. The cubic root of 1504104480 is about 1145.7573931585.

The spelling of 1504104480 in words is "one billion, five hundred four million, one hundred four thousand, four hundred eighty".