1540368408 has 64 divisors (see below), whose sum is σ = 3989088000. Its totient is φ = 495082112.

The previous prime is 1540368373. The next prime is 1540368449. The reversal of 1540368408 is 8048630451.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950623 + ... + 952241.

It is an arithmetic number, because the mean of its divisors is an integer number (62329500).

Almost surely, 2^1540368408 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 1540368408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994544000).

1540368408 is an abundant number, since it is smaller than the sum of its proper divisors (2448719592).

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

1540368408 is a wasteful number, since it uses less digits than its factorization.

1540368408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1540368408 is about 39247.5274125645. The cubic root of 1540368408 is about 1154.8924290289.

Adding to 1540368408 its reverse (8048630451), we get a palindrome (9588998859).

The spelling of 1540368408 in words is "one billion, five hundred forty million, three hundred sixty-eight thousand, four hundred eight".