468449280 has 576 divisors, whose sum is σ = 1931791680. Its totient is φ = 103809024.

The previous prime is 468449273. The next prime is 468449287. The reversal of 468449280 is 82944864.

468449280 is a `hidden beast` number, since 4 + 6 + 84 + 492 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (468449273) and next prime (468449287).

It is a tau number, because it is divible by the number of its divisors (576).

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 (468449287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20367349 + ... + 20367371.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^468449280 is an apocalyptic number.

468449280 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 468449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965895840).

468449280 is an abundant number, since it is smaller than the sum of its proper divisors (1463342400).

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

468449280 is a wasteful number, since it uses less digits than its factorization.

468449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468449280 is about 21643.6891494957. The cubic root of 468449280 is about 776.6419741598.

The spelling of 468449280 in words is "four hundred sixty-eight million, four hundred forty-nine thousand, two hundred eighty".