1484334720 has 640 divisors, whose sum is σ = 6131505600. Its totient is φ = 338411520.

The previous prime is 1484334707. The next prime is 1484334721. The reversal of 1484334720 is 274334841.

1484334720 is a `hidden beast` number, since 148 + 43 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1484334721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834492 + ... + 10834628.

Almost surely, 2^1484334720 is an apocalyptic number.

1484334720 is a gapful number since it is divisible by the number (10) 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 1484334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065752800).

1484334720 is an abundant number, since it is smaller than the sum of its proper divisors (4647170880).

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

1484334720 is a wasteful number, since it uses less digits than its factorization.

1484334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1484334720 is about 38527.0647727023. The cubic root of 1484334720 is about 1140.7153405096.

The spelling of 1484334720 in words is "one billion, four hundred eighty-four million, three hundred thirty-four thousand, seven hundred twenty".