468045036 has 72 divisors (see below), whose sum is σ = 1232431200. Its totient is φ = 149587200.

The previous prime is 468045029. The next prime is 468045047. The reversal of 468045036 is 630540864.

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, 156160 + ... + 159128.

It is an arithmetic number, because the mean of its divisors is an integer number (17117100).

Almost surely, 2^468045036 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 468045036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616215600).

468045036 is an abundant number, since it is smaller than the sum of its proper divisors (764386164).

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

468045036 is a wasteful number, since it uses less digits than its factorization.

468045036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 468045036 is about 21634.3485226618. The cubic root of 468045036 is about 776.4185111849.

The spelling of 468045036 in words is "four hundred sixty-eight million, forty-five thousand, thirty-six".