1505350080 has 336 divisors, whose sum is σ = 5760378624. Its totient is φ = 358318080.

The previous prime is 1505350079. The next prime is 1505350097. The reversal of 1505350080 is 800535051.

1505350080 is a `hidden beast` number, since 1 + 50 + 535 + 0 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159992 + ... + 1161288.

It is an arithmetic number, because the mean of its divisors is an integer number (17143984).

Almost surely, 2^1505350080 is an apocalyptic number.

1505350080 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 1505350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880189312).

1505350080 is an abundant number, since it is smaller than the sum of its proper divisors (4255028544).

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

1505350080 is a wasteful number, since it uses less digits than its factorization.

1505350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1505350080 is about 38798.8412198096. The cubic root of 1505350080 is about 1146.0735860938.

The spelling of 1505350080 in words is "one billion, five hundred five million, three hundred fifty thousand, eighty".