450521760 has 384 divisors, whose sum is σ = 1682601984. Its totient is φ = 100270080.

The previous prime is 450521741. The next prime is 450521779. The reversal of 450521760 is 67125054.

It is an interprime number because it is at equal distance from previous prime (450521741) and next prime (450521779).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3288412 + ... + 3288548.

It is an arithmetic number, because the mean of its divisors is an integer number (4381776).

Almost surely, 2^450521760 is an apocalyptic number.

450521760 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 450521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841300992).

450521760 is an abundant number, since it is smaller than the sum of its proper divisors (1232080224).

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

450521760 is a wasteful number, since it uses less digits than its factorization.

450521760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 450521760 is about 21225.4978740194. The cubic root of 450521760 is about 766.6054880819.

The spelling of 450521760 in words is "four hundred fifty million, five hundred twenty-one thousand, seven hundred sixty".