450202560 has 112 divisors (see below), whose sum is σ = 1435400736. Its totient is φ = 119549952.

The previous prime is 450202531. The next prime is 450202579. The reversal of 450202560 is 65202054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 450202560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265074 + ... + 266766.

It is an arithmetic number, because the mean of its divisors is an integer number (12816078).

Almost surely, 2^450202560 is an apocalyptic number.

450202560 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 450202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717700368).

450202560 is an abundant number, since it is smaller than the sum of its proper divisors (985198176).

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

450202560 is a wasteful number, since it uses less digits than its factorization.

450202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450202560 is about 21217.9772834264. The cubic root of 450202560 is about 766.4243956187.

The spelling of 450202560 in words is "four hundred fifty million, two hundred two thousand, five hundred sixty".