455214100 has 108 divisors (see below), whose sum is σ = 1150168572. Its totient is φ = 155724800.

The previous prime is 455214079. The next prime is 455214119. The reversal of 455214100 is 1412554.

It can be written as a sum of positive squares in 6 ways, for example, as 55294096 + 399920004 = 7436^2 + 19998^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 204594 + ... + 206806.

It is an arithmetic number, because the mean of its divisors is an integer number (10649709).

Almost surely, 2^455214100 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 455214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575084286).

455214100 is an abundant number, since it is smaller than the sum of its proper divisors (694954472).

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

455214100 is a wasteful number, since it uses less digits than its factorization.

455214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 455214100 is about 21335.7469988749. The cubic root of 455214100 is about 769.2577882048.

Adding to 455214100 its reverse (1412554), we get a palindrome (456626654).

The spelling of 455214100 in words is "four hundred fifty-five million, two hundred fourteen thousand, one hundred".