1483409664 has 324 divisors, whose sum is σ = 4993649388. Its totient is φ = 421724160.

The previous prime is 1483409663. The next prime is 1483409671. The reversal of 1483409664 is 4669043841.

It can be written as a sum of positive squares in 2 ways, for example, as 446054400 + 1037355264 = 21120^2 + 32208^2 .

It is not an unprimeable number, because it can be changed into a prime (1483409663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4739172 + ... + 4739484.

Almost surely, 2^1483409664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496824694).

1483409664 is an abundant number, since it is smaller than the sum of its proper divisors (3510239724).

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

1483409664 is a wasteful number, since it uses less digits than its factorization.

1483409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1483409664 is about 38515.0576268555. The cubic root of 1483409664 is about 1140.4783218997.

The spelling of 1483409664 in words is "one billion, four hundred eighty-three million, four hundred nine thousand, six hundred sixty-four".