468849120 has 96 divisors (see below), whose sum is σ = 1563776928. Its totient is φ = 117669888.

The previous prime is 468849047. The next prime is 468849133. The reversal of 468849120 is 21948864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20569 + ... + 36888.

It is an arithmetic number, because the mean of its divisors is an integer number (16289343).

Almost surely, 2^468849120 is an apocalyptic number.

468849120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468849120 is an abundant number, since it is smaller than the sum of its proper divisors (1094927808).

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

468849120 is a wasteful number, since it uses less digits than its factorization.

468849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57492 (or 57484 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 468849120 is about 21652.9240519612. The cubic root of 468849120 is about 776.8628762093.

The spelling of 468849120 in words is "four hundred sixty-eight million, eight hundred forty-nine thousand, one hundred twenty".