1505705984 has 60 divisors (see below), whose sum is σ = 3116141700. Its totient is φ = 726663168.

The previous prime is 1505705983. The next prime is 1505705987. The reversal of 1505705984 is 4895075051.

It can be written as a sum of positive squares in 2 ways, for example, as 1032208384 + 473497600 = 32128^2 + 21760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505705983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473552 + ... + 476720.

It is an arithmetic number, because the mean of its divisors is an integer number (51935695).

Almost surely, 2^1505705984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558070850).

1505705984 is an abundant number, since it is smaller than the sum of its proper divisors (1610435716).

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

1505705984 is an frugal number, since it uses more digits than its factorization.

1505705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 1505705984 is about 38803.4274774794. The cubic root of 1505705984 is about 1146.1638995338.

The spelling of 1505705984 in words is "one billion, five hundred five million, seven hundred five thousand, nine hundred eighty-four".