454199400 has 360 divisors, whose sum is σ = 1680185430. Its totient is φ = 113667840.

The previous prime is 454199327. The next prime is 454199407. The reversal of 454199400 is 4991454.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 378613764 + 75585636 = 19458^2 + 8694^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (454199407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8569774 + ... + 8569826.

Almost surely, 2^454199400 is an apocalyptic number.

454199400 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 454199400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840092715).

454199400 is an abundant number, since it is smaller than the sum of its proper divisors (1225986030).

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

454199400 is a wasteful number, since it uses less digits than its factorization.

454199400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 454199400 is about 21311.9543918431. The cubic root of 454199400 is about 768.6857888069.

The spelling of 454199400 in words is "four hundred fifty-four million, one hundred ninety-nine thousand, four hundred".