454542400 has 189 divisors, whose sum is σ = 1241371533. Its totient is φ = 163737600.

The previous prime is 454542383. The next prime is 454542409. The reversal of 454542400 is 4245454.

The square root of 454542400 is 21320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 411927616 + 42614784 = 20296^2 + 6528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454542409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11086380 + ... + 11086420.

Almost surely, 2^454542400 is an apocalyptic number.

454542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

454542400 is the 21320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454542400

454542400 is an abundant number, since it is smaller than the sum of its proper divisors (786829133).

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

454542400 is a wasteful number, since it uses less digits than its factorization.

454542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The cubic root of 454542400 is about 768.8792375314.

Adding to 454542400 its reverse (4245454), we get a palindrome (458787854).

The spelling of 454542400 in words is "four hundred fifty-four million, five hundred forty-two thousand, four hundred".