450513280 has 128 divisors (see below), whose sum is σ = 1239079680. Its totient is φ = 153434112.

The previous prime is 450513269. The next prime is 450513307. The reversal of 450513280 is 82315054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1016739 + ... + 1017181.

It is an arithmetic number, because the mean of its divisors is an integer number (9680310).

Almost surely, 2^450513280 is an apocalyptic number.

450513280 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 450513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619539840).

450513280 is an abundant number, since it is smaller than the sum of its proper divisors (788566400).

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

450513280 is a wasteful number, since it uses less digits than its factorization.

450513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 450513280 is about 21225.2981133364. The cubic root of 450513280 is about 766.6006782104.

The spelling of 450513280 in words is "four hundred fifty million, five hundred thirteen thousand, two hundred eighty".