468348480 has 336 divisors, whose sum is σ = 1764060480. Its totient is φ = 117946368.

The previous prime is 468348469. The next prime is 468348493. The reversal of 468348480 is 84843864.

468348480 is a `hidden beast` number, since 468 + 34 + 84 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477282 + ... + 1477598.

It is an arithmetic number, because the mean of its divisors is an integer number (5250180).

Almost surely, 2^468348480 is an apocalyptic number.

468348480 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 468348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882030240).

468348480 is an abundant number, since it is smaller than the sum of its proper divisors (1295712000).

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

468348480 is a wasteful number, since it uses less digits than its factorization.

468348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 468348480 is about 21641.3604008620. The cubic root of 468348480 is about 776.5862647300.

The spelling of 468348480 in words is "four hundred sixty-eight million, three hundred forty-eight thousand, four hundred eighty".