450178080 has 288 divisors, whose sum is σ = 1631290752. Its totient is φ = 104079360.

The previous prime is 450178061. The next prime is 450178081. The reversal of 450178080 is 80871054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (450178081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335672 + ... + 1336008.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2^450178080 is an apocalyptic number.

450178080 is a gapful number since it is divisible by the number (40) 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 450178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815645376).

450178080 is an abundant number, since it is smaller than the sum of its proper divisors (1181112672).

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

450178080 is a wasteful number, since it uses less digits than its factorization.

450178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 450178080 is about 21217.4004062703. The cubic root of 450178080 is about 766.4105037910.

The spelling of 450178080 in words is "four hundred fifty million, one hundred seventy-eight thousand, eighty".