450420520 has 64 divisors (see below), whose sum is σ = 1109816640. Its totient is φ = 163161600.

The previous prime is 450420469. The next prime is 450420527. The reversal of 450420520 is 25024054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 450420491 and 450420500.

It is not an unprimeable number, because it can be changed into a prime (450420527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121819 + ... + 125461.

It is an arithmetic number, because the mean of its divisors is an integer number (17340885).

Almost surely, 2^450420520 is an apocalyptic number.

450420520 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 450420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554908320).

450420520 is an abundant number, since it is smaller than the sum of its proper divisors (659396120).

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

450420520 is a wasteful number, since it uses less digits than its factorization.

450420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 450420520 is about 21223.1128725265. The cubic root of 450420520 is about 766.5480606272.

Adding to 450420520 its reverse (25024054), we get a palindrome (475444574).

The spelling of 450420520 in words is "four hundred fifty million, four hundred twenty thousand, five hundred twenty".