450467820 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 102528000.

The previous prime is 450467791. The next prime is 450467837. The reversal of 450467820 is 28764054.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516491 + ... + 2516669.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^450467820 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 450467820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

450467820 is an abundant number, since it is smaller than the sum of its proper divisors (1134592020).

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

450467820 is a wasteful number, since it uses less digits than its factorization.

450467820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 450467820 is about 21224.2271944116. The cubic root of 450467820 is about 766.5748921861.

The spelling of 450467820 in words is "four hundred fifty million, four hundred sixty-seven thousand, eight hundred twenty".