1506785472 has 84 divisors (see below), whose sum is σ = 4333505176. Its totient is φ = 500567040.

The previous prime is 1506785471. The next prime is 1506785479. The reversal of 1506785472 is 2745876051.

1506785472 is a `hidden beast` number, since 1 + 506 + 78 + 5 + 4 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1506785471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172572 + ... + 181092.

Almost surely, 2^1506785472 is an apocalyptic number.

1506785472 is a gapful number since it is divisible by the number (12) 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 1506785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166752588).

1506785472 is an abundant number, since it is smaller than the sum of its proper divisors (2826719704).

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

1506785472 is a wasteful number, since it uses less digits than its factorization.

1506785472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8833 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1506785472 is about 38817.3346843907. The cubic root of 1506785472 is about 1146.4377410910.

The spelling of 1506785472 in words is "one billion, five hundred six million, seven hundred eighty-five thousand, four hundred seventy-two".