1562960448 has 336 divisors, whose sum is σ = 5436412800. Its totient is φ = 445036032.

The previous prime is 1562960447. The next prime is 1562960453. The reversal of 1562960448 is 8440692651.

1562960448 is a `hidden beast` number, since 15 + 6 + 29 + 604 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1562960447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334190 + ... + 5334482.

It is an arithmetic number, because the mean of its divisors is an integer number (16179800).

Almost surely, 2^1562960448 is an apocalyptic number.

1562960448 is a gapful number since it is divisible by the number (18) 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 1562960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718206400).

1562960448 is an abundant number, since it is smaller than the sum of its proper divisors (3873452352).

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

1562960448 is an frugal number, since it uses more digits than its factorization.

1562960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1562960448 is about 39534.2945807814. The cubic root of 1562960448 is about 1160.5111817575.

The spelling of 1562960448 in words is "one billion, five hundred sixty-two million, nine hundred sixty thousand, four hundred forty-eight".