1484464896 has 216 divisors, whose sum is σ = 4524680160. Its totient is φ = 467140608.

The previous prime is 1484464879. The next prime is 1484464921. The reversal of 1484464896 is 6984644841.

1484464896 is a `hidden beast` number, since 14 + 84 + 464 + 8 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5776000 + ... + 5776256.

Almost surely, 2^1484464896 is an apocalyptic number.

1484464896 is a gapful number since it is divisible by the number (16) 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 1484464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262340080).

1484464896 is an abundant number, since it is smaller than the sum of its proper divisors (3040215264).

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

1484464896 is a wasteful number, since it uses less digits than its factorization.

1484464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1484464896 is about 38528.7541454431. The cubic root of 1484464896 is about 1140.7486864069.

The spelling of 1484464896 in words is "one billion, four hundred eighty-four million, four hundred sixty-four thousand, eight hundred ninety-six".