454994400 has 432 divisors, whose sum is σ = 1779354864. Its totient is φ = 100638720.

The previous prime is 454994377. The next prime is 454994411. The reversal of 454994400 is 4499454.

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, 6232764 + ... + 6232836.

It is an arithmetic number, because the mean of its divisors is an integer number (4118877).

Almost surely, 2^454994400 is an apocalyptic number.

454994400 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 454994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889677432).

454994400 is an abundant number, since it is smaller than the sum of its proper divisors (1324360464).

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

454994400 is a wasteful number, since it uses less digits than its factorization.

454994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 454994400 is about 21330.5977412730. The cubic root of 454994400 is about 769.1340126506.

The spelling of 454994400 in words is "four hundred fifty-four million, nine hundred ninety-four thousand, four hundred".