468602880 has 208 divisors, whose sum is σ = 1556945280. Its totient is φ = 120193024.

The previous prime is 468602879. The next prime is 468602887. The reversal of 468602880 is 88206864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468602887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781629 + ... + 1781891.

Almost surely, 2^468602880 is an apocalyptic number.

468602880 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 468602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778472640).

468602880 is an abundant number, since it is smaller than the sum of its proper divisors (1088342400).

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

468602880 is a wasteful number, since it uses less digits than its factorization.

468602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 468602880 is about 21647.2372371164. The cubic root of 468602880 is about 776.7268493543.

The spelling of 468602880 in words is "four hundred sixty-eight million, six hundred two thousand, eight hundred eighty".