455013000 has 192 divisors, whose sum is σ = 1656673200. Its totient is φ = 111974400.

The previous prime is 455012983. The next prime is 455013017. The reversal of 455013000 is 310554.

It is an interprime number because it is at equal distance from previous prime (455012983) and next prime (455013017).

It can be written as a sum of positive squares in 8 ways, for example, as 4639716 + 450373284 = 2154^2 + 21222^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115056 + ... + 118944.

Almost surely, 2^455013000 is an apocalyptic number.

455013000 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 455013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828336600).

455013000 is an abundant number, since it is smaller than the sum of its proper divisors (1201660200).

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

455013000 is a wasteful number, since it uses less digits than its factorization.

455013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 455013000 is about 21331.0337302251. The cubic root of 455013000 is about 769.1444931442.

Adding to 455013000 its reverse (310554), we get a palindrome (455323554).

The spelling of 455013000 in words is "four hundred fifty-five million, thirteen thousand".