455694900 has 72 divisors (see below), whose sum is σ = 1334435424. Its totient is φ = 120048000.

The previous prime is 455694887. The next prime is 455694907. The reversal of 455694900 is 9496554.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455694907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15750 + ... + 34050.

Almost surely, 2^455694900 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 455694900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667217712).

455694900 is an abundant number, since it is smaller than the sum of its proper divisors (878740524).

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

455694900 is a wasteful number, since it uses less digits than its factorization.

455694900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18401 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 455694900 is about 21347.0115004419. The cubic root of 455694900 is about 769.5285245499.

The spelling of 455694900 in words is "four hundred fifty-five million, six hundred ninety-four thousand, nine hundred".