455598000400 has 45 divisors (see below), whose sum is σ = 1094606629711. Its totient is φ = 182233800320.

The previous prime is 455598000383. The next prime is 455598000401. The reversal of 455598000400 is 4000895554.

The square root of 455598000400 is 674980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59725494544 + 395872505856 = 244388^2 + 629184^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (455598000401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13482726 + ... + 13516474.

Almost surely, 2^455598000400 is an apocalyptic number.

455598000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

455598000400 is the 674980-th square number.

It is an amenable number.

455598000400 is an abundant number, since it is smaller than the sum of its proper divisors (639008629311).

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

455598000400 is an frugal number, since it uses more digits than its factorization.

455598000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67516 (or 33756 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 455598000400 its reverse (4000895554), we get a palindrome (459598895954).

The spelling of 455598000400 in words is "four hundred fifty-five billion, five hundred ninety-eight million, four hundred", and thus it is an aban number.