1483979616 has 288 divisors, whose sum is σ = 5063385600. Its totient is φ = 418784256.

The previous prime is 1483979611. The next prime is 1483979621. The reversal of 1483979616 is 6169793841.

1483979616 is a `hidden beast` number, since 14 + 8 + 3 + 9 + 7 + 9 + 616 = 666.

1483979616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1483979611) and next prime (1483979621).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483979611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7457085 + ... + 7457283.

It is an arithmetic number, because the mean of its divisors is an integer number (17581200).

Almost surely, 2^1483979616 is an apocalyptic number.

1483979616 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 1483979616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531692800).

1483979616 is an abundant number, since it is smaller than the sum of its proper divisors (3579405984).

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

1483979616 is a wasteful number, since it uses less digits than its factorization.

1483979616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1483979616 is about 38522.4559964704. The cubic root of 1483979616 is about 1140.6243671189.

The spelling of 1483979616 in words is "one billion, four hundred eighty-three million, nine hundred seventy-nine thousand, six hundred sixteen".