450635400 has 120 divisors (see below), whose sum is σ = 1565179770. Its totient is φ = 120165120.

The previous prime is 450635377. The next prime is 450635411. The reversal of 450635400 is 4536054.

It can be written as a sum of positive squares in 3 ways, for example, as 345736836 + 104898564 = 18594^2 + 10242^2 .

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2292 + ... + 30108.

Almost surely, 2^450635400 is an apocalyptic number.

450635400 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 450635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782589885).

450635400 is an abundant number, since it is smaller than the sum of its proper divisors (1114544370).

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

450635400 is a wasteful number, since it uses less digits than its factorization.

450635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27845 (or 27827 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 450635400 is about 21228.1746742390. The cubic root of 450635400 is about 766.6699390745.

The spelling of 450635400 in words is "four hundred fifty million, six hundred thirty-five thousand, four hundred".