468423360 has 168 divisors, whose sum is σ = 1650894336. Its totient is φ = 121835520.

The previous prime is 468423349. The next prime is 468423377. The reversal of 468423360 is 63324864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116097 + ... + 120063.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 2^468423360 is an apocalyptic number.

468423360 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 468423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825447168).

468423360 is an abundant number, since it is smaller than the sum of its proper divisors (1182470976).

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

468423360 is a wasteful number, since it uses less digits than its factorization.

468423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 468423360 is about 21643.0903523503. The cubic root of 468423360 is about 776.6276496412.

The spelling of 468423360 in words is "four hundred sixty-eight million, four hundred twenty-three thousand, three hundred sixty".