1481633964 has 192 divisors, whose sum is σ = 4211343360. Its totient is φ = 449064000.

The previous prime is 1481633947. The next prime is 1481633971. The reversal of 1481633964 is 4693361841.

1481633964 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 633 + 9 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5467149 + ... + 5467419.

It is an arithmetic number, because the mean of its divisors is an integer number (21934080).

Almost surely, 2^1481633964 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 1481633964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105671680).

1481633964 is an abundant number, since it is smaller than the sum of its proper divisors (2729709396).

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

1481633964 is a wasteful number, since it uses less digits than its factorization.

1481633964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1481633964 is about 38491.9987010288. The cubic root of 1481633964 is about 1140.0230743252.

The spelling of 1481633964 in words is "one billion, four hundred eighty-one million, six hundred thirty-three thousand, nine hundred sixty-four".