468073224 has 96 divisors (see below), whose sum is σ = 1317115800. Its totient is φ = 149990400.

The previous prime is 468073217. The next prime is 468073231. The reversal of 468073224 is 422370864.

It is a Cunningham number, because it is equal to 21635²-1.

It is an interprime number because it is at equal distance from previous prime (468073217) and next prime (468073231).

It can be written as a sum of positive squares in 4 ways, for example, as 454457124 + 13616100 = 21318^2 + 3690^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778524 + ... + 779124.

Almost surely, 2^468073224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468073224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658557900).

468073224 is an abundant number, since it is smaller than the sum of its proper divisors (849042576).

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

468073224 is a wasteful number, since it uses less digits than its factorization.

468073224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 468073224 is about 21634.9999768893. Note that the first 4 decimals coincide. The cubic root of 468073224 is about 776.4340974668.

The spelling of 468073224 in words is "four hundred sixty-eight million, seventy-three thousand, two hundred twenty-four".