455005040 has 120 divisors (see below), whose sum is σ = 1234108512. Its totient is φ = 152824320.

The previous prime is 455005037. The next prime is 455005043. The reversal of 455005040 is 40500554.

It is an interprime number because it is at equal distance from previous prime (455005037) and next prime (455005043).

It is a junction number, because it is equal to n+sod(n) for n = 455004997 and 455005015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455005043) 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, 2513750 + ... + 2513930.

Almost surely, 2^455005040 is an apocalyptic number.

455005040 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 455005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617054256).

455005040 is an abundant number, since it is smaller than the sum of its proper divisors (779103472).

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

455005040 is a wasteful number, since it uses less digits than its factorization.

455005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 455005040 is about 21330.8471467966. The cubic root of 455005040 is about 769.1400079787.

Adding to 455005040 its reverse (40500554), we get a palindrome (495505594).

The spelling of 455005040 in words is "four hundred fifty-five million, five thousand, forty".