1484755272 has 576 divisors, whose sum is σ = 5751345600. Its totient is φ = 352719360.

The previous prime is 1484755267. The next prime is 1484755289. The reversal of 1484755272 is 2725574841.

1484755272 is a `hidden beast` number, since 14 + 84 + 7 + 552 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13621554 + ... + 13621662.

It is an arithmetic number, because the mean of its divisors is an integer number (9984975).

Almost surely, 2^1484755272 is an apocalyptic number.

1484755272 is a gapful number since it is divisible by the number (12) 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 1484755272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875672800).

1484755272 is an abundant number, since it is smaller than the sum of its proper divisors (4266590328).

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

1484755272 is a wasteful number, since it uses less digits than its factorization.

1484755272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The square root of 1484755272 is about 38532.5222636671. The cubic root of 1484755272 is about 1140.8230621287.

The spelling of 1484755272 in words is "one billion, four hundred eighty-four million, seven hundred fifty-five thousand, two hundred seventy-two".