468012000 has 192 divisors, whose sum is σ = 1570593024. Its totient is φ = 121766400.

The previous prime is 468011993. The next prime is 468012011. The reversal of 468012000 is 210864.

It is a super-3 number, since 3×468012000³ (a number of 27 digits) contains 333 as substring.

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, 515547 + ... + 516453.

It is an arithmetic number, because the mean of its divisors is an integer number (8180172).

Almost surely, 2^468012000 is an apocalyptic number.

468012000 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 468012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785296512).

468012000 is an abundant number, since it is smaller than the sum of its proper divisors (1102581024).

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

468012000 is a wasteful number, since it uses less digits than its factorization.

468012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 468012000 is about 21633.5850011042. The cubic root of 468012000 is about 776.4002434517.

Adding to 468012000 its reverse (210864), we get a palindrome (468222864).

The spelling of 468012000 in words is "four hundred sixty-eight million, twelve thousand".