450829200 has 120 divisors (see below), whose sum is σ = 1477910368. Its totient is φ = 117411840.

The previous prime is 450829147. The next prime is 450829229. The reversal of 450829200 is 2928054.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 47232 + ... + 55968.

Almost surely, 2^450829200 is an apocalyptic number.

450829200 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 450829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738955184).

450829200 is an abundant number, since it is smaller than the sum of its proper divisors (1027081168).

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

450829200 is a wasteful number, since it uses less digits than its factorization.

450829200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 450829200 is about 21232.7388718460. The cubic root of 450829200 is about 766.7798278669.

The spelling of 450829200 in words is "four hundred fifty million, eight hundred twenty-nine thousand, two hundred".