1540461663 has 24 divisors (see below), whose sum is σ = 2461044768. Its totient is φ = 922352832.

The previous prime is 1540461631. The next prime is 1540461673. The reversal of 1540461663 is 3661640451.

It is a happy number.

1540461663 is a `hidden beast` number, since 1 + 540 + 46 + 16 + 63 = 666.

It is not a de Polignac number, because 1540461663 - 2⁵ = 1540461631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540461673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173595 + ... + 182252.

It is an arithmetic number, because the mean of its divisors is an integer number (102543532).

Almost surely, 2^1540461663 is an apocalyptic number.

1540461663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1540461663 is a deficient number, since it is larger than the sum of its proper divisors (920583105).

1540461663 is a wasteful number, since it uses less digits than its factorization.

1540461663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355903 (or 355900 counting only the distinct ones).

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

The square root of 1540461663 is about 39248.7154312087. The cubic root of 1540461663 is about 1154.9157345619.

It can be divided in two parts, 1540 and 461663, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 1540461663 in words is "one billion, five hundred forty million, four hundred sixty-one thousand, six hundred sixty-three".