1484150976 has 336 divisors, whose sum is σ = 5369844480. Its totient is φ = 380712960.

The previous prime is 1484150963. The next prime is 1484151013. The reversal of 1484150976 is 6790514841.

1484150976 is a `hidden beast` number, since 148 + 415 + 0 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1484150976³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4834215 + ... + 4834521.

It is an arithmetic number, because the mean of its divisors is an integer number (15981680).

Almost surely, 2^1484150976 is an apocalyptic number.

1484150976 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 1484150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684922240).

1484150976 is an abundant number, since it is smaller than the sum of its proper divisors (3885693504).

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

1484150976 is a wasteful number, since it uses less digits than its factorization.

1484150976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1484150976 is about 38524.6800895218. The cubic root of 1484150976 is about 1140.6682693097.

The spelling of 1484150976 in words is "one billion, four hundred eighty-four million, one hundred fifty thousand, nine hundred seventy-six".