468789120 has 160 divisors (see below), whose sum is σ = 1674315720. Its totient is φ = 124996608.

The previous prime is 468789119. The next prime is 468789143. The reversal of 468789120 is 21987864.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47319 + ... + 56361.

Almost surely, 2^468789120 is an apocalyptic number.

468789120 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 468789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837157860).

468789120 is an abundant number, since it is smaller than the sum of its proper divisors (1205526600).

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

468789120 is an equidigital number, since it uses as much as digits as its factorization.

468789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 468789120 is about 21651.5385134637. The cubic root of 468789120 is about 776.8297356537.

The spelling of 468789120 in words is "four hundred sixty-eight million, seven hundred eighty-nine thousand, one hundred twenty".