454264100 has 36 divisors (see below), whose sum is σ = 990902724. Its totient is φ = 180756480.

The previous prime is 454264081. The next prime is 454264117. The reversal of 454264100 is 1462454.

It can be written as a sum of positive squares in 6 ways, for example, as 58094884 + 396169216 = 7622^2 + 19904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 454264100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7532 + ... + 31068.

Almost surely, 2^454264100 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 454264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495451362).

454264100 is an abundant number, since it is smaller than the sum of its proper divisors (536638624).

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

454264100 is a wasteful number, since it uses less digits than its factorization.

454264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23744 (or 23737 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 454264100 is about 21313.4722652129. The cubic root of 454264100 is about 768.7222864401.

The spelling of 454264100 in words is "four hundred fifty-four million, two hundred sixty-four thousand, one hundred".