1541215460 has 72 divisors (see below), whose sum is σ = 3365966016. Its totient is φ = 592656960.

The previous prime is 1541215451. The next prime is 1541215483. The reversal of 1541215460 is 645121451.

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 23 ways as a sum of consecutive naturals, for example, 2625287 + ... + 2625873.

It is an arithmetic number, because the mean of its divisors is an integer number (46749528).

Almost surely, 2^1541215460 is an apocalyptic number.

1541215460 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 1541215460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682983008).

1541215460 is an abundant number, since it is smaller than the sum of its proper divisors (1824750556).

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

1541215460 is a wasteful number, since it uses less digits than its factorization.

1541215460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1541215460 is about 39258.3170805882. The cubic root of 1541215460 is about 1155.1040828724.

The spelling of 1541215460 in words is "one billion, five hundred forty-one million, two hundred fifteen thousand, four hundred sixty".