1468626984 has 256 divisors, whose sum is σ = 4659609600. Its totient is φ = 424569600.

The previous prime is 1468626959. The next prime is 1468626989. The reversal of 1468626984 is 4896268641.

1468626984 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 626 + 9 + 8 + 4 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 1468626984.

It is not an unprimeable number, because it can be changed into a prime (1468626989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9354234 + ... + 9354390.

It is an arithmetic number, because the mean of its divisors is an integer number (18201600).

Almost surely, 2^1468626984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468626984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329804800).

1468626984 is an abundant number, since it is smaller than the sum of its proper divisors (3190982616).

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

1468626984 is a wasteful number, since it uses less digits than its factorization.

1468626984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1468626984 is about 38322.6693224780. The cubic root of 1468626984 is about 1136.6772498200.

The spelling of 1468626984 in words is "one billion, four hundred sixty-eight million, six hundred twenty-six thousand, nine hundred eighty-four".