450941400 has 288 divisors, whose sum is σ = 1864568160. Its totient is φ = 95109120.

The previous prime is 450941389. The next prime is 450941429. The reversal of 450941400 is 4149054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162424 + ... + 165176.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^450941400 is an apocalyptic number.

450941400 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 450941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932284080).

450941400 is an abundant number, since it is smaller than the sum of its proper divisors (1413626760).

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

450941400 is a wasteful number, since it uses less digits than its factorization.

450941400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 450941400 is about 21235.3808536602. The cubic root of 450941400 is about 766.8434333007.

The spelling of 450941400 in words is "four hundred fifty million, nine hundred forty-one thousand, four hundred".