1506459980 has 96 divisors (see below), whose sum is σ = 3431393280. Its totient is φ = 554090240.

The previous prime is 1506459971. The next prime is 1506460001. The reversal of 1506459980 is 899546051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274990 + ... + 1276170.

It is an arithmetic number, because the mean of its divisors is an integer number (35743680).

Almost surely, 2^1506459980 is an apocalyptic number.

1506459980 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 1506459980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715696640).

1506459980 is an abundant number, since it is smaller than the sum of its proper divisors (1924933300).

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

1506459980 is a wasteful number, since it uses less digits than its factorization.

1506459980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 1506459980 is about 38813.1418465447. The cubic root of 1506459980 is about 1146.3551849491.

The spelling of 1506459980 in words is "one billion, five hundred six million, four hundred fifty-nine thousand, nine hundred eighty".