468055000 has 160 divisors (see below), whose sum is σ = 1286588160. Its totient is φ = 156240000.

The previous prime is 468054997. The next prime is 468055001. The reversal of 468055000 is 550864.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 468055000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468055001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1504845 + ... + 1505155.

It is an arithmetic number, because the mean of its divisors is an integer number (8041176).

Almost surely, 2^468055000 is an apocalyptic number.

468055000 is a gapful number since it is divisible by the number (40) 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 468055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643294080).

468055000 is an abundant number, since it is smaller than the sum of its proper divisors (818533160).

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

468055000 is a wasteful number, since it uses less digits than its factorization.

468055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 468055000 is about 21634.5788033879. The cubic root of 468055000 is about 776.4240207538.

The spelling of 468055000 in words is "four hundred sixty-eight million, fifty-five thousand".