1461218976 has 288 divisors, whose sum is σ = 4971552768. Its totient is φ = 398338560.

The previous prime is 1461218929. The next prime is 1461218987. The reversal of 1461218976 is 6798121641.

1461218976 is a `hidden beast` number, since 1 + 461 + 2 + 189 + 7 + 6 = 666.

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

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

Its product of digits (145152) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6436975 + ... + 6437201.

It is an arithmetic number, because the mean of its divisors is an integer number (17262336).

Almost surely, 2^1461218976 is an apocalyptic number.

1461218976 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 1461218976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485776384).

1461218976 is an abundant number, since it is smaller than the sum of its proper divisors (3510333792).

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

1461218976 is a wasteful number, since it uses less digits than its factorization.

1461218976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1461218976 is about 38225.8940510225. The cubic root of 1461218976 is about 1134.7628285641.

The spelling of 1461218976 in words is "one billion, four hundred sixty-one million, two hundred eighteen thousand, nine hundred seventy-six".