1538772480 has 720 divisors, whose sum is σ = 6549491520. Its totient is φ = 332365824.

The previous prime is 1538772449. The next prime is 1538772481. The reversal of 1538772480 is 842778351.

1538772480 is a `hidden beast` number, since 1 + 538 + 7 + 72 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538772481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32739817 + ... + 32739863.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^1538772480 is an apocalyptic number.

1538772480 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 1538772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274745760).

1538772480 is an abundant number, since it is smaller than the sum of its proper divisors (5010719040).

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

1538772480 is a wasteful number, since it uses less digits than its factorization.

1538772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1538772480 is about 39227.1905698076. The cubic root of 1538772480 is about 1154.4934417788.

The spelling of 1538772480 in words is "one billion, five hundred thirty-eight million, seven hundred seventy-two thousand, four hundred eighty".