468803972 has 54 divisors (see below), whose sum is σ = 1033482618. Its totient is φ = 185447808.

The previous prime is 468803969. The next prime is 468803981. The reversal of 468803972 is 279308864.

It can be written as a sum of positive squares in 3 ways, for example, as 1552516 + 467251456 = 1246^2 + 21616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26048 + ... + 40200.

It is an arithmetic number, because the mean of its divisors is an integer number (19138567).

Almost surely, 2^468803972 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 468803972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516741309).

468803972 is an abundant number, since it is smaller than the sum of its proper divisors (564678646).

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

468803972 is a wasteful number, since it uses less digits than its factorization.

468803972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 468803972 is about 21651.8814886836. The cubic root of 468803972 is about 776.8379393092.

The spelling of 468803972 in words is "four hundred sixty-eight million, eight hundred three thousand, nine hundred seventy-two".