468812120 has 32 divisors (see below), whose sum is σ = 1205517600. Its totient is φ = 160735488.

The previous prime is 468812119. The next prime is 468812143. The reversal of 468812120 is 21218864.

It is a happy number.

It is a super-3 number, since 3×468812120³ (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 7 ways as a sum of consecutive naturals, for example, 836885 + ... + 837444.

It is an arithmetic number, because the mean of its divisors is an integer number (37672425).

Almost surely, 2^468812120 is an apocalyptic number.

468812120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468812120 is an abundant number, since it is smaller than the sum of its proper divisors (736705480).

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

468812120 is a wasteful number, since it uses less digits than its factorization.

468812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674347 (or 1674343 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 468812120 is about 21652.0696470337. The cubic root of 468812120 is about 776.8424398675.

The spelling of 468812120 in words is "four hundred sixty-eight million, eight hundred twelve thousand, one hundred twenty".