1506749856 has 48 divisors (see below), whose sum is σ = 4163392800. Its totient is φ = 475815168.

The previous prime is 1506749851. The next prime is 1506749861. The reversal of 1506749856 is 6589476051.

1506749856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1506749851) and next prime (1506749861).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1506749799 and 1506749808.

It is not an unprimeable number, because it can be changed into a prime (1506749851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411211 + ... + 414858.

It is an arithmetic number, because the mean of its divisors is an integer number (86737350).

Almost surely, 2^1506749856 is an apocalyptic number.

1506749856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1506749856 is an abundant number, since it is smaller than the sum of its proper divisors (2656642944).

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

1506749856 is a wasteful number, since it uses less digits than its factorization.

1506749856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826101 (or 826093 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 1506749856 is about 38816.8759175697. The cubic root of 1506749856 is about 1146.4287082085.

The spelling of 1506749856 in words is "one billion, five hundred six million, seven hundred forty-nine thousand, eight hundred fifty-six".