415989000 has 512 divisors, whose sum is σ = 1725235200. Its totient is φ = 90720000.

The previous prime is 415988981. The next prime is 415989001. The reversal of 415989000 is 989514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415989001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5858965 + ... + 5859035.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^415989000 is an apocalyptic number.

415989000 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 415989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862617600).

415989000 is an abundant number, since it is smaller than the sum of its proper divisors (1309246200).

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

415989000 is a wasteful number, since it uses less digits than its factorization.

415989000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 415989000 is about 20395.8083929027. The cubic root of 415989000 is about 746.4956515582.

The spelling of 415989000 in words is "four hundred fifteen million, nine hundred eighty-nine thousand".