1503366480 has 800 divisors, whose sum is σ = 6844704768. Its totient is φ = 296524800.

The previous prime is 1503366463. The next prime is 1503366481. The reversal of 1503366480 is 846633051.

1503366480 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 3 + 6 + 648 + 0 = 666.

It is a super-2 number, since 2×1503366480² = 4520221546375180800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1503366481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11476015 + ... + 11476145.

Almost surely, 2^1503366480 is an apocalyptic number.

1503366480 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 1503366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422352384).

1503366480 is an abundant number, since it is smaller than the sum of its proper divisors (5341338288).

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

1503366480 is a wasteful number, since it uses less digits than its factorization.

1503366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1503366480 is about 38773.2701741806. The cubic root of 1503366480 is about 1145.5699710523.

It can be divided in two parts, 150336 and 6480, that added together give a square (156816 = 396²).

The spelling of 1503366480 in words is "one billion, five hundred three million, three hundred sixty-six thousand, four hundred eighty".