1542438464 has 84 divisors (see below), whose sum is σ = 3585476700. Its totient is φ = 656409600.

The previous prime is 1542438463. The next prime is 1542438473. The reversal of 1542438464 is 4648342451.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245862400 + 1296576064 = 15680^2 + 36008^2 .

It is not an unprimeable number, because it can be changed into a prime (1542438463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 465614 + ... + 468914.

Almost surely, 2^1542438464 is an apocalyptic number.

1542438464 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 1542438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792738350).

1542438464 is an abundant number, since it is smaller than the sum of its proper divisors (2043038236).

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

1542438464 is a wasteful number, since it uses less digits than its factorization.

1542438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3459 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 1542438464 is about 39273.8903598816. The cubic root of 1542438464 is about 1155.4095394945.

The spelling of 1542438464 in words is "one billion, five hundred forty-two million, four hundred thirty-eight thousand, four hundred sixty-four".