415450000 has 120 divisors (see below), whose sum is σ = 1150801344. Its totient is φ = 142320000.

The previous prime is 415449919. The next prime is 415450001. The reversal of 415450000 is 54514.

It is a self number, because there is not a number n which added to its sum of digits gives 415450000.

It is not an unprimeable number, because it can be changed into a prime (415450001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349407 + ... + 350593.

Almost surely, 2^415450000 is an apocalyptic number.

415450000 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 415450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575400672).

415450000 is an abundant number, since it is smaller than the sum of its proper divisors (735351344).

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

415450000 is an equidigital number, since it uses as much as digits as its factorization.

415450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 415450000 is about 20382.5906106167. The cubic root of 415450000 is about 746.1730989089.

The spelling of 415450000 in words is "four hundred fifteen million, four hundred fifty thousand".