454461200 has 30 divisors (see below), whose sum is σ = 1091843994. Its totient is φ = 181784320.

The previous prime is 454461193. The next prime is 454461223. The reversal of 454461200 is 2164454.

It can be written as a sum of positive squares in 3 ways, for example, as 430336 + 454030864 = 656^2 + 21308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 454461200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567677 + ... + 568476.

Almost surely, 2^454461200 is an apocalyptic number.

454461200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454461200 is an abundant number, since it is smaller than the sum of its proper divisors (637382794).

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

454461200 is a wasteful number, since it uses less digits than its factorization.

454461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136171 (or 1136160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 454461200 is about 21318.0955997481. The cubic root of 454461200 is about 768.8334503015.

The spelling of 454461200 in words is "four hundred fifty-four million, four hundred sixty-one thousand, two hundred".