1506364461 has 48 divisors (see below), whose sum is σ = 2665039104. Its totient is φ = 801073152.

The previous prime is 1506364451. The next prime is 1506364499. The reversal of 1506364461 is 1644636051.

It is a happy number.

1506364461 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 3 + 644 + 6 + 1 = 666.

It is not a de Polignac number, because 1506364461 - 2⁶ = 1506364397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506364451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39565 + ... + 67661.

It is an arithmetic number, because the mean of its divisors is an integer number (55521648).

Almost surely, 2^1506364461 is an apocalyptic number.

It is an amenable number.

1506364461 is a deficient number, since it is larger than the sum of its proper divisors (1158674643).

1506364461 is a wasteful number, since it uses less digits than its factorization.

1506364461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170 (or 28167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1506364461 is about 38811.9113288691. The cubic root of 1506364461 is about 1146.3309557369.

It can be divided in two parts, 15063 and 64461, that added together give a square (79524 = 282²).

The spelling of 1506364461 in words is "one billion, five hundred six million, three hundred sixty-four thousand, four hundred sixty-one".