1461283857 has 48 divisors (see below), whose sum is σ = 2365796160. Its totient is φ = 861648000.

The previous prime is 1461283849. The next prime is 1461283877. The reversal of 1461283857 is 7583821641.

1461283857 is a `hidden beast` number, since 146 + 128 + 385 + 7 = 666.

It is not a de Polignac number, because 1461283857 - 2³ = 1461283849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1461283847) 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, 588703 + ... + 591179.

It is an arithmetic number, because the mean of its divisors is an integer number (49287420).

Almost surely, 2^1461283857 is an apocalyptic number.

It is an amenable number.

1461283857 is a deficient number, since it is larger than the sum of its proper divisors (904512303).

1461283857 is a wasteful number, since it uses less digits than its factorization.

1461283857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2651 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1461283857 is about 38226.7426940879. The cubic root of 1461283857 is about 1134.7796235503.

It can be divided in two parts, 146 and 1283857, that added together give a triangular number (1284003 = T₁₆₀₂).

The spelling of 1461283857 in words is "one billion, four hundred sixty-one million, two hundred eighty-three thousand, eight hundred fifty-seven".