468545472 has 280 divisors, whose sum is σ = 1504736640. Its totient is φ = 143700480.

The previous prime is 468545471. The next prime is 468545503. The reversal of 468545472 is 274545864.

468545472 is a `hidden beast` number, since 4 + 68 + 545 + 47 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468545471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6599197 + ... + 6599267.

Almost surely, 2^468545472 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 468545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752368320).

468545472 is an abundant number, since it is smaller than the sum of its proper divisors (1036191168).

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

468545472 is a wasteful number, since it uses less digits than its factorization.

468545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 468545472 is about 21645.9112074313. The cubic root of 468545472 is about 776.6951294212.

It can be divided in two parts, 46854 and 5472, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 468545472 in words is "four hundred sixty-eight million, five hundred forty-five thousand, four hundred seventy-two".