1605397248 has 648 divisors, whose sum is σ = 6224225280. Its totient is φ = 388177920.

The previous prime is 1605397247. The next prime is 1605397289. The reversal of 1605397248 is 8427935061.

1605397248 is a `hidden beast` number, since 1 + 6 + 0 + 539 + 72 + 48 = 666.

1605397248 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1605397248 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605397247) 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, 51786993 + ... + 51787023.

It is a 1-persistent number, because it is pandigital, but 2⋅1605397248 = 3210794496 is not.

Almost surely, 2^1605397248 is an apocalyptic number.

1605397248 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 1605397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112112640).

1605397248 is an abundant number, since it is smaller than the sum of its proper divisors (4618828032).

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

1605397248 is a wasteful number, since it uses less digits than its factorization.

1605397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1605397248 is about 40067.4088006699. The cubic root of 1605397248 is about 1170.9207566821.

The spelling of 1605397248 in words is "one billion, six hundred five million, three hundred ninety-seven thousand, two hundred forty-eight".