468928980 has 192 divisors, whose sum is σ = 1596161280. Its totient is φ = 113591808.

The previous prime is 468928979. The next prime is 468929017. The reversal of 468928980 is 89829864.

468928980 is a `hidden beast` number, since 468 + 92 + 8 + 98 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469842 + ... + 470838.

It is an arithmetic number, because the mean of its divisors is an integer number (8313340).

Almost surely, 2^468928980 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 468928980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798080640).

468928980 is an abundant number, since it is smaller than the sum of its proper divisors (1127232300).

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

468928980 is a wasteful number, since it uses less digits than its factorization.

468928980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 468928980 is about 21654.7680661789. The cubic root of 468928980 is about 776.9069819031.

The spelling of 468928980 in words is "four hundred sixty-eight million, nine hundred twenty-eight thousand, nine hundred eighty".