454766400 has 630 divisors, whose sum is σ = 1900744230. Its totient is φ = 106444800.

The previous prime is 454766381. The next prime is 454766413. The reversal of 454766400 is 4667454.

454766400 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 424030464 = 5544^2 + 20592^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15681586 + ... + 15681614.

Almost surely, 2^454766400 is an apocalyptic number.

454766400 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 454766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950372115).

454766400 is an abundant number, since it is smaller than the sum of its proper divisors (1445977830).

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

454766400 is a wasteful number, since it uses less digits than its factorization.

454766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 454766400 is about 21325.2526362526. The cubic root of 454766400 is about 769.0055188679.

The spelling of 454766400 in words is "four hundred fifty-four million, seven hundred sixty-six thousand, four hundred".