454368200 has 96 divisors (see below), whose sum is σ = 1241170560. Its totient is φ = 152505600.

The previous prime is 454368193. The next prime is 454368203. The reversal of 454368200 is 2863454.

It is a super-2 number, since 2×454368200² = 412900922342480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454368203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20657 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (12928860).

Almost surely, 2^454368200 is an apocalyptic number.

454368200 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 454368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620585280).

454368200 is an abundant number, since it is smaller than the sum of its proper divisors (786802360).

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

454368200 is a wasteful number, since it uses less digits than its factorization.

454368200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15927 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 454368200 is about 21315.9142426498. The cubic root of 454368200 is about 768.7810025614.

The spelling of 454368200 in words is "four hundred fifty-four million, three hundred sixty-eight thousand, two hundred".