450988020 has 192 divisors, whose sum is σ = 1613606400. Its totient is φ = 102435840.

The previous prime is 450988007. The next prime is 450988033. The reversal of 450988020 is 20889054.

It is an interprime number because it is at equal distance from previous prime (450988007) and next prime (450988033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865360 + ... + 865880.

It is an arithmetic number, because the mean of its divisors is an integer number (8404200).

Almost surely, 2^450988020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450988020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806803200).

450988020 is an abundant number, since it is smaller than the sum of its proper divisors (1162618380).

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

450988020 is a wasteful number, since it uses less digits than its factorization.

450988020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 450988020 is about 21236.4785216382. The cubic root of 450988020 is about 766.8698587660.

It can be divided in two parts, 4509 and 88020, that added together give a palindrome (92529).

The spelling of 450988020 in words is "four hundred fifty million, nine hundred eighty-eight thousand, twenty".