1504788480 has 360 divisors, whose sum is σ = 5653487112. Its totient is φ = 368050176.

The previous prime is 1504788457. The next prime is 1504788487. The reversal of 1504788480 is 848874051.

1504788480 is a `hidden beast` number, since 1 + 50 + 47 + 88 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 1504198656 = 768^2 + 38784^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504788487) 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, 9584562 + ... + 9584718.

Almost surely, 2^1504788480 is an apocalyptic number.

1504788480 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 1504788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826743556).

1504788480 is an abundant number, since it is smaller than the sum of its proper divisors (4148698632).

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

1504788480 is a wasteful number, since it uses less digits than its factorization.

1504788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1504788480 is about 38791.6032151289. The cubic root of 1504788480 is about 1145.9310467179.

The spelling of 1504788480 in words is "one billion, five hundred four million, seven hundred eighty-eight thousand, four hundred eighty".