1540415200 has 72 divisors (see below), whose sum is σ = 3783929688. Its totient is φ = 612334080.

The previous prime is 1540415197. The next prime is 1540415213. The reversal of 1540415200 is 25140451.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 124494 + ... + 136306.

It is an arithmetic number, because the mean of its divisors is an integer number (52554579).

Almost surely, 2^1540415200 is an apocalyptic number.

1540415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891964844).

1540415200 is an abundant number, since it is smaller than the sum of its proper divisors (2243514488).

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

1540415200 is a wasteful number, since it uses less digits than its factorization.

1540415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1540415200 is about 39248.1235220233. The cubic root of 1540415200 is about 1154.9041230235.

Adding to 1540415200 its reverse (25140451), we get a palindrome (1565555651).

The spelling of 1540415200 in words is "one billion, five hundred forty million, four hundred fifteen thousand, two hundred".