1540812456 has 192 divisors, whose sum is σ = 4531363200. Its totient is φ = 489888000.

The previous prime is 1540812443. The next prime is 1540812463. The reversal of 1540812456 is 6542180451.

It is a happy number.

1540812456 is a `hidden beast` number, since 1 + 5 + 408 + 1 + 245 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1540812456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8512686 + ... + 8512866.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^1540812456 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 1540812456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265681600).

1540812456 is an abundant number, since it is smaller than the sum of its proper divisors (2990550744).

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

1540812456 is a wasteful number, since it uses less digits than its factorization.

1540812456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1540812456 is about 39253.1840237197. The cubic root of 1540812456 is about 1155.0033934797.

The spelling of 1540812456 in words is "one billion, five hundred forty million, eight hundred twelve thousand, four hundred fifty-six".