1483961472 has 480 divisors, whose sum is σ = 5402833920. Its totient is φ = 402361344.

The previous prime is 1483961471. The next prime is 1483961473. The reversal of 1483961472 is 2741693841.

1483961472 is a `hidden beast` number, since 1 + 483 + 96 + 14 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1483961471) and next prime (1483961473).

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (1483961471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11684673 + ... + 11684799.

It is an arithmetic number, because the mean of its divisors is an integer number (11255904).

Almost surely, 2^1483961472 is an apocalyptic number.

1483961472 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 1483961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701416960).

1483961472 is an abundant number, since it is smaller than the sum of its proper divisors (3918872448).

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

1483961472 is a wasteful number, since it uses less digits than its factorization.

1483961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1483961472 is about 38522.2204967471. The cubic root of 1483961472 is about 1140.6197184538.

The spelling of 1483961472 in words is "one billion, four hundred eighty-three million, nine hundred sixty-one thousand, four hundred seventy-two".