1484705120 has 96 divisors (see below), whose sum is σ = 3634968960. Its totient is φ = 572661760.

The previous prime is 1484705119. The next prime is 1484705153. The reversal of 1484705120 is 215074841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582569 + ... + 585111.

It is an arithmetic number, because the mean of its divisors is an integer number (37864260).

Almost surely, 2^1484705120 is an apocalyptic number.

1484705120 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 1484705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817484480).

1484705120 is an abundant number, since it is smaller than the sum of its proper divisors (2150263840).

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

1484705120 is a wasteful number, since it uses less digits than its factorization.

1484705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 1484705120 is about 38531.8714832280. The cubic root of 1484705120 is about 1140.8102170933.

Adding to 1484705120 its reverse (215074841), we get a palindrome (1699779961).

The spelling of 1484705120 in words is "one billion, four hundred eighty-four million, seven hundred five thousand, one hundred twenty".