468817960 has 128 divisors (see below), whose sum is σ = 1187020800. Its totient is φ = 165473280.

The previous prime is 468817939. The next prime is 468817967. The reversal of 468817960 is 69718864.

It is not an unprimeable number, because it can be changed into a prime (468817967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047126 + ... + 2047354.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2^468817960 is an apocalyptic number.

468817960 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 468817960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593510400).

468817960 is an abundant number, since it is smaller than the sum of its proper divisors (718202840).

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

468817960 is a wasteful number, since it uses less digits than its factorization.

468817960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 468817960 is about 21652.2045067009. The cubic root of 468817960 is about 776.8456655670.

The spelling of 468817960 in words is "four hundred sixty-eight million, eight hundred seventeen thousand, nine hundred sixty".