455200040 has 64 divisors (see below), whose sum is σ = 1069180560. Its totient is φ = 174254080.

The previous prime is 455200027. The next prime is 455200051. The reversal of 455200040 is 40002554.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 209149444 + 246050596 = 14462^2 + 15686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 455199985 and 455200021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84302 + ... + 89538.

Almost surely, 2^455200040 is an apocalyptic number.

455200040 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 455200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534590280).

455200040 is an abundant number, since it is smaller than the sum of its proper divisors (613980520).

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

455200040 is a wasteful number, since it uses less digits than its factorization.

455200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 455200040 is about 21335.4175023598. The cubic root of 455200040 is about 769.2498682130.

Adding to 455200040 its reverse (40002554), we get a palindrome (495202594).

The spelling of 455200040 in words is "four hundred fifty-five million, two hundred thousand, forty".