1504270720 has 128 divisors (see below), whose sum is σ = 3761303040. Its totient is φ = 574715904.

The previous prime is 1504270699. The next prime is 1504270727. The reversal of 1504270720 is 270724051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504270727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292859 + ... + 1294021.

It is an arithmetic number, because the mean of its divisors is an integer number (29385180).

Almost surely, 2^1504270720 is an apocalyptic number.

1504270720 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 1504270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880651520).

1504270720 is an abundant number, since it is smaller than the sum of its proper divisors (2257032320).

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

1504270720 is a wasteful number, since it uses less digits than its factorization.

1504270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1504270720 is about 38784.9290317773. The cubic root of 1504270720 is about 1145.7996029241.

Adding to 1504270720 its reverse (270724051), we get a palindrome (1774994771).

The spelling of 1504270720 in words is "one billion, five hundred four million, two hundred seventy thousand, seven hundred twenty".