1542484944 has 800 divisors, whose sum is σ = 6352093440. Its totient is φ = 348364800.

The previous prime is 1542484943. The next prime is 1542484997. The reversal of 1542484944 is 4494842451.

1542484944 is a `hidden beast` number, since 154 + 2 + 4 + 8 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1542484944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542484943) 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 159 ways as a sum of consecutive naturals, for example, 37621564 + ... + 37621604.

Almost surely, 2^1542484944 is an apocalyptic number.

1542484944 is a gapful number since it is divisible by the number (14) 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 1542484944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176046720).

1542484944 is an abundant number, since it is smaller than the sum of its proper divisors (4809608496).

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

1542484944 is a wasteful number, since it uses less digits than its factorization.

1542484944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1542484944 is about 39274.4820971582. The cubic root of 1542484944 is about 1155.4211451214.

The spelling of 1542484944 in words is "one billion, five hundred forty-two million, four hundred eighty-four thousand, nine hundred forty-four".