1540476864 has 168 divisors, whose sum is σ = 4526645760. Its totient is φ = 500746752.

The previous prime is 1540476863. The next prime is 1540476869. The reversal of 1540476864 is 4686740451.

1540476864 is a `hidden beast` number, since 1 + 540 + 47 + 6 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540476863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6907857 + ... + 6908079.

It is an arithmetic number, because the mean of its divisors is an integer number (26944320).

Almost surely, 2^1540476864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263322880).

1540476864 is an abundant number, since it is smaller than the sum of its proper divisors (2986168896).

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

1540476864 is a wasteful number, since it uses less digits than its factorization.

1540476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1540476864 is about 39248.9090803808. The cubic root of 1540476864 is about 1154.9195333833.

The spelling of 1540476864 in words is "one billion, five hundred forty million, four hundred seventy-six thousand, eight hundred sixty-four".