1461920049 has 16 divisors (see below), whose sum is σ = 2293208640. Its totient is φ = 917282880.

The previous prime is 1461920039. The next prime is 1461920051. The reversal of 1461920049 is 9400291641.

It is a happy number.

1461920049 is a `hidden beast` number, since 14 + 619 + 20 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 1461920049 - 2¹¹ = 1461918001 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1461919995 and 1461920022.

It is not an unprimeable number, because it can be changed into a prime (1461920039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592047 + ... + 1592964.

It is an arithmetic number, because the mean of its divisors is an integer number (143325540).

Almost surely, 2^1461920049 is an apocalyptic number.

It is an amenable number.

1461920049 is a deficient number, since it is larger than the sum of its proper divisors (831288591).

1461920049 is a wasteful number, since it uses less digits than its factorization.

1461920049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185037 (or 3185031 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1461920049 is about 38235.0630835101. The cubic root of 1461920049 is about 1134.9442808073.

The spelling of 1461920049 in words is "one billion, four hundred sixty-one million, nine hundred twenty thousand, forty-nine".