1645580448 has 168 divisors, whose sum is σ = 5070225888. Its totient is φ = 524506752.

The previous prime is 1645580413. The next prime is 1645580449. The reversal of 1645580448 is 8440855461.

It is a happy number.

1645580448 is a `hidden beast` number, since 1 + 64 + 5 + 580 + 4 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1645580449) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 535011 + ... + 538077.

It is an arithmetic number, because the mean of its divisors is an integer number (30179916).

Almost surely, 2^1645580448 is an apocalyptic number.

1645580448 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 1645580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535112944).

1645580448 is an abundant number, since it is smaller than the sum of its proper divisors (3424645440).

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

1645580448 is an equidigital number, since it uses as much as digits as its factorization.

1645580448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1645580448 is about 40565.7546213552. The cubic root of 1645580448 is about 1180.6097700690.

The spelling of 1645580448 in words is "one billion, six hundred forty-five million, five hundred eighty thousand, four hundred forty-eight".