468467280 has 160 divisors (see below), whose sum is σ = 1636264320. Its totient is φ = 123171840.

The previous prime is 468467273. The next prime is 468467281. The reversal of 468467280 is 82764864.

468467280 is a `hidden beast` number, since 468 + 46 + 72 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468467281) 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, 156195 + ... + 159165.

It is an arithmetic number, because the mean of its divisors is an integer number (10226652).

Almost surely, 2^468467280 is an apocalyptic number.

468467280 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 468467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818132160).

468467280 is an abundant number, since it is smaller than the sum of its proper divisors (1167797040).

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

468467280 is a wasteful number, since it uses less digits than its factorization.

468467280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 468467280 is about 21644.1049711001. The cubic root of 468467280 is about 776.6519214312.

The spelling of 468467280 in words is "four hundred sixty-eight million, four hundred sixty-seven thousand, two hundred eighty".