450197400 has 384 divisors, whose sum is σ = 1639180800. Its totient is φ = 101376000.

The previous prime is 450197393. The next prime is 450197413. The reversal of 450197400 is 4791054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4457350 + ... + 4457450.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^450197400 is an apocalyptic number.

450197400 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 450197400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

450197400 is an abundant number, since it is smaller than the sum of its proper divisors (1188983400).

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

450197400 is a wasteful number, since it uses less digits than its factorization.

450197400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 450197400 is about 21217.8556880756. The cubic root of 450197400 is about 766.4214674812.

The spelling of 450197400 in words is "four hundred fifty million, one hundred ninety-seven thousand, four hundred".