450472320 has 256 divisors, whose sum is σ = 1615680000. Its totient is φ = 118609920.

The previous prime is 450472279. The next prime is 450472361. The reversal of 450472320 is 23274054.

It is an interprime number because it is at equal distance from previous prime (450472279) and next prime (450472361).

It is a super-2 number, since 2×450472320² = 405850622172364800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263581 + ... + 2263779.

It is an arithmetic number, because the mean of its divisors is an integer number (6311250).

Almost surely, 2^450472320 is an apocalyptic number.

450472320 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 450472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

450472320 is an abundant number, since it is smaller than the sum of its proper divisors (1165207680).

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

450472320 is a wasteful number, since it uses less digits than its factorization.

450472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 450472320 is about 21224.3332050738. Note that the first 3 decimals coincide. The cubic root of 450472320 is about 766.5774447736.

The spelling of 450472320 in words is "four hundred fifty million, four hundred seventy-two thousand, three hundred twenty".