1506260380 has 48 divisors (see below), whose sum is σ = 3265952256. Its totient is φ = 583096320.

The previous prime is 1506260323. The next prime is 1506260387. The reversal of 1506260380 is 830626051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506260387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136012 + ... + 146668.

It is an arithmetic number, because the mean of its divisors is an integer number (68040672).

Almost surely, 2^1506260380 is an apocalyptic number.

1506260380 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 1506260380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632976128).

1506260380 is an abundant number, since it is smaller than the sum of its proper divisors (1759691876).

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

1506260380 is a wasteful number, since it uses less digits than its factorization.

1506260380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1506260380 is about 38810.5704673353. The cubic root of 1506260380 is about 1146.3045535341.

The spelling of 1506260380 in words is "one billion, five hundred six million, two hundred sixty thousand, three hundred eighty".