450526720 has 160 divisors (see below), whose sum is σ = 1275918336. Its totient is φ = 149299200.

The previous prime is 450526717. The next prime is 450526721. The reversal of 450526720 is 27625054.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450526721) 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, 555115 + ... + 555925.

Almost surely, 2^450526720 is an apocalyptic number.

450526720 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 450526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637959168).

450526720 is an abundant number, since it is smaller than the sum of its proper divisors (825391616).

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

450526720 is an equidigital number, since it uses as much as digits as its factorization.

450526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 450526720 is about 21225.6147143022. The cubic root of 450526720 is about 766.6083013749.

The spelling of 450526720 in words is "four hundred fifty million, five hundred twenty-six thousand, seven hundred twenty".