450404280 has 128 divisors (see below), whose sum is σ = 1520640000. Its totient is φ = 118564992.

The previous prime is 450404267. The next prime is 450404281. The reversal of 450404280 is 82404054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450404281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82681 + ... + 87959.

It is an arithmetic number, because the mean of its divisors is an integer number (11880000).

Almost surely, 2^450404280 is an apocalyptic number.

450404280 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 450404280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760320000).

450404280 is an abundant number, since it is smaller than the sum of its proper divisors (1070235720).

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

450404280 is a wasteful number, since it uses less digits than its factorization.

450404280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 450404280 is about 21222.7302673337. The cubic root of 450404280 is about 766.5388478363.

The spelling of 450404280 in words is "four hundred fifty million, four hundred four thousand, two hundred eighty".