468202644 has 216 divisors, whose sum is σ = 1571163048. Its totient is φ = 116121600.

The previous prime is 468202643. The next prime is 468202663. The reversal of 468202644 is 446202864.

It is a happy number.

468202644 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 0 + 2 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 467856900 = 588^2 + 21630^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 468202599 and 468202608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468202643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389244 + ... + 390444.

It is an arithmetic number, because the mean of its divisors is an integer number (7273903).

Almost surely, 2^468202644 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 468202644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785581524).

468202644 is an abundant number, since it is smaller than the sum of its proper divisors (1102960404).

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

468202644 is a wasteful number, since it uses less digits than its factorization.

468202644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 468202644 is about 21637.9907569996. The cubic root of 468202644 is about 776.5056509730.

The spelling of 468202644 in words is "four hundred sixty-eight million, two hundred two thousand, six hundred forty-four".