455940000 has 360 divisors, whose sum is σ = 1727025300. Its totient is φ = 113664000.

The previous prime is 455939993. The next prime is 455940019. The reversal of 455940000 is 49554.

It can be written as a sum of positive squares in 10 ways, for example, as 54819216 + 401120784 = 7404^2 + 20028^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×455940000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059926 + ... + 3060074.

Almost surely, 2^455940000 is an apocalyptic number.

455940000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863512650).

455940000 is an abundant number, since it is smaller than the sum of its proper divisors (1271085300).

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

455940000 is a wasteful number, since it uses less digits than its factorization.

455940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455940000 is about 21352.7515791291. The cubic root of 455940000 is about 769.6664659928. Note that the first 3 decimals are identical.

Adding to 455940000 its reverse (49554), we get a palindrome (455989554).

The spelling of 455940000 in words is "four hundred fifty-five million, nine hundred forty thousand".