8455368400 has 30 divisors (see below), whose sum is σ = 20314023542. Its totient is φ = 3382147200.

The previous prime is 8455368379. The next prime is 8455368403. The reversal of 8455368400 is 48635548.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 8453699136 = 1292^2 + 91944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8455368403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10568811 + ... + 10569610.

Almost surely, 2^8455368400 is an apocalyptic number.

8455368400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8455368400 is an abundant number, since it is smaller than the sum of its proper divisors (11858655142).

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

8455368400 is a wasteful number, since it uses less digits than its factorization.

8455368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21138439 (or 21138428 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 8455368400 is about 91953.0771643886. The cubic root of 8455368400 is about 2037.2493043456.

The spelling of 8455368400 in words is "eight billion, four hundred fifty-five million, three hundred sixty-eight thousand, four hundred".