1504807980 has 192 divisors, whose sum is σ = 4860172800. Its totient is φ = 344770560.

The previous prime is 1504807957. The next prime is 1504807981. The reversal of 1504807980 is 897084051.

It is not an unprimeable number, because it can be changed into a prime (1504807981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873520 + ... + 875240.

It is an arithmetic number, because the mean of its divisors is an integer number (25313400).

Almost surely, 2^1504807980 is an apocalyptic number.

1504807980 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 1504807980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430086400).

1504807980 is an abundant number, since it is smaller than the sum of its proper divisors (3355364820).

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

1504807980 is a wasteful number, since it uses less digits than its factorization.

1504807980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1504807980 is about 38791.8545573681. The cubic root of 1504807980 is about 1145.9359965961.

The spelling of 1504807980 in words is "one billion, five hundred four million, eight hundred seven thousand, nine hundred eighty".