455450400 has 324 divisors, whose sum is σ = 1728838566. Its totient is φ = 112435200.

The previous prime is 455450377. The next prime is 455450467. The reversal of 455450400 is 4054554.

It can be written as a sum of positive squares in 9 ways, for example, as 18974736 + 436475664 = 4356^2 + 20892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7466370 + ... + 7466430.

Almost surely, 2^455450400 is an apocalyptic number.

455450400 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 455450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864419283).

455450400 is an abundant number, since it is smaller than the sum of its proper divisors (1273388166).

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

455450400 is a wasteful number, since it uses less digits than its factorization.

455450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 455450400 is about 21341.2839351338. The cubic root of 455450400 is about 769.3908714956.

The spelling of 455450400 in words is "four hundred fifty-five million, four hundred fifty thousand, four hundred".