455048100 has 432 divisors, whose sum is σ = 1706140800. Its totient is φ = 100362240.

The previous prime is 455048051. The next prime is 455048107. The reversal of 455048100 is 1840554.

455048100 is a `hidden beast` number, since 4 + 550 + 4 + 8 + 100 = 666.

It is a super-2 number, since 2×455048100² = 414137546627220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455048107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5112856 + ... + 5112944.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^455048100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

455048100 is an abundant number, since it is smaller than the sum of its proper divisors (1251092700).

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

455048100 is a wasteful number, since it uses less digits than its factorization.

455048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 455048100 is about 21331.8564592958. The cubic root of 455048100 is about 769.1642700719.

Adding to 455048100 its reverse (1840554), we get a palindrome (456888654).

It can be divided in two parts, 4550 and 48100, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 455048100 in words is "four hundred fifty-five million, forty-eight thousand, one hundred".