1515484080 has 480 divisors, whose sum is σ = 6077111040. Its totient is φ = 347120640.

The previous prime is 1515484063. The next prime is 1515484081. The reversal of 1515484080 is 804845151.

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 (1515484081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062774 + ... + 4063146.

It is an arithmetic number, because the mean of its divisors is an integer number (12660648).

Almost surely, 2^1515484080 is an apocalyptic number.

1515484080 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 1515484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038555520).

1515484080 is an abundant number, since it is smaller than the sum of its proper divisors (4561626960).

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

1515484080 is a wasteful number, since it uses less digits than its factorization.

1515484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1515484080 is about 38929.2188465168. The cubic root of 1515484080 is about 1148.6396213848.

The spelling of 1515484080 in words is "one billion, five hundred fifteen million, four hundred eighty-four thousand, eighty".