450418320 has 400 divisors, whose sum is σ = 1750066560. Its totient is φ = 106444800.

The previous prime is 450418307. The next prime is 450418321. The reversal of 450418320 is 23814054.

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

It is not an unprimeable number, because it can be changed into a prime (450418321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5060836 + ... + 5060924.

Almost surely, 2^450418320 is an apocalyptic number.

450418320 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 450418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875033280).

450418320 is an abundant number, since it is smaller than the sum of its proper divisors (1299648240).

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

450418320 is a wasteful number, since it uses less digits than its factorization.

450418320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450418320 is about 21223.0610421777. The cubic root of 450418320 is about 766.5468126020.

It can be divided in two parts, 45041 and 8320, that added together give a square (53361 = 231²).

The spelling of 450418320 in words is "four hundred fifty million, four hundred eighteen thousand, three hundred twenty".