454811400 has 144 divisors (see below), whose sum is σ = 1568919300. Its totient is φ = 117987840.

The previous prime is 454811377. The next prime is 454811411. The reversal of 454811400 is 4118454.

454811400 = 111² + 112² + ... + 1109².

It is a happy number.

454811400 is a `hidden beast` number, since 4 + 548 + 114 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 275626404 + 179184996 = 16602^2 + 13386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63186 + ... + 70014.

Almost surely, 2^454811400 is an apocalyptic number.

454811400 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 454811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784459650).

454811400 is an abundant number, since it is smaller than the sum of its proper divisors (1114107900).

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

454811400 is a wasteful number, since it uses less digits than its factorization.

454811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 454811400 is about 21326.3076973019. The cubic root of 454811400 is about 769.0308828841.

Adding to 454811400 its reverse (4118454), we get a palindrome (458929854).

The spelling of 454811400 in words is "four hundred fifty-four million, eight hundred eleven thousand, four hundred".