468073728 has 90 divisors (see below), whose sum is σ = 1395772994. Its totient is φ = 156017664.

The previous prime is 468073709. The next prime is 468073729. The reversal of 468073728 is 827370864.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 179345664 = 16992^2 + 13392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468073729) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9450 + ... + 32022.

Almost surely, 2^468073728 is an apocalyptic number.

468073728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697886497).

468073728 is an abundant number, since it is smaller than the sum of its proper divisors (927699266).

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

468073728 is an equidigital number, since it uses as much as digits as its factorization.

468073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22601 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 468073728 is about 21635.0116246791. The cubic root of 468073728 is about 776.4343761430.

The spelling of 468073728 in words is "four hundred sixty-eight million, seventy-three thousand, seven hundred twenty-eight".