468019552 has 192 divisors, whose sum is σ = 1303948800. Its totient is φ = 159252480.

The previous prime is 468019529. The next prime is 468019613. The reversal of 468019552 is 255910864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608224 + ... + 608992.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2^468019552 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 468019552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651974400).

468019552 is an abundant number, since it is smaller than the sum of its proper divisors (835929248).

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

468019552 is a wasteful number, since it uses less digits than its factorization.

468019552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 468019552 is about 21633.7595438241. The cubic root of 468019552 is about 776.4044195149.

The spelling of 468019552 in words is "four hundred sixty-eight million, nineteen thousand, five hundred fifty-two".