450774720 has 672 divisors, whose sum is σ = 1917167616. Its totient is φ = 99532800.

The previous prime is 450774683. The next prime is 450774733. The reversal of 450774720 is 27477054.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 14541105 + ... + 14541135.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2^450774720 is an apocalyptic number.

450774720 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 450774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958583808).

450774720 is an abundant number, since it is smaller than the sum of its proper divisors (1466392896).

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

450774720 is a wasteful number, since it uses less digits than its factorization.

450774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 450774720 is about 21231.4559086277. The cubic root of 450774720 is about 766.7489397110.

The spelling of 450774720 in words is "four hundred fifty million, seven hundred seventy-four thousand, seven hundred twenty".