1509468480 has 448 divisors, whose sum is σ = 5837529600. Its totient is φ = 364953600.

The previous prime is 1509468413. The next prime is 1509468481. The reversal of 1509468480 is 848649051.

1509468480 is a `hidden beast` number, since 1 + 509 + 4 + 68 + 4 + 80 = 666.

It is a super-2 number, since 2×1509468480² = 4556990184227020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1509468481) 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, 9996405 + ... + 9996555.

It is an arithmetic number, because the mean of its divisors is an integer number (13030200).

Almost surely, 2^1509468480 is an apocalyptic number.

1509468480 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 1509468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

1509468480 is an abundant number, since it is smaller than the sum of its proper divisors (4328061120).

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

1509468480 is a wasteful number, since it uses less digits than its factorization.

1509468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1509468480 is about 38851.8787190530. The cubic root of 1509468480 is about 1147.1177931674.

The spelling of 1509468480 in words is "one billion, five hundred nine million, four hundred sixty-eight thousand, four hundred eighty".