1504381680 has 320 divisors, whose sum is σ = 5597320320. Its totient is φ = 369967104.

The previous prime is 1504381673. The next prime is 1504381691. The reversal of 1504381680 is 861834051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1945774 + ... + 1946546.

It is an arithmetic number, because the mean of its divisors is an integer number (17491626).

Almost surely, 2^1504381680 is an apocalyptic number.

1504381680 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 1504381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798660160).

1504381680 is an abundant number, since it is smaller than the sum of its proper divisors (4092938640).

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

1504381680 is a wasteful number, since it uses less digits than its factorization.

1504381680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1504381680 is about 38786.3594579331. The cubic root of 1504381680 is about 1145.8277748917.

The spelling of 1504381680 in words is "one billion, five hundred four million, three hundred eighty-one thousand, six hundred eighty".