1506660480 has 512 divisors, whose sum is σ = 6066144000. Its totient is φ = 350355456.

The previous prime is 1506660451. The next prime is 1506660487. The reversal of 1506660480 is 840666051.

It is a super-3 number, since 3×1506660480³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1506660487) 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 63 ways as a sum of consecutive naturals, for example, 4267984 + ... + 4268336.

Almost surely, 2^1506660480 is an apocalyptic number.

1506660480 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 1506660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033072000).

1506660480 is an abundant number, since it is smaller than the sum of its proper divisors (4559483520).

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

1506660480 is a wasteful number, since it uses less digits than its factorization.

1506660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1506660480 is about 38815.7246486524. The cubic root of 1506660480 is about 1146.4060401596.

The spelling of 1506660480 in words is "one billion, five hundred six million, six hundred sixty thousand, four hundred eighty".