415415000 has 320 divisors, whose sum is σ = 1322576640. Its totient is φ = 118080000.

The previous prime is 415414997. The next prime is 415415027. The reversal of 415415000 is 514514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5004959 + ... + 5005041.

It is an arithmetic number, because the mean of its divisors is an integer number (4133052).

Almost surely, 2^415415000 is an apocalyptic number.

415415000 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 415415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661288320).

415415000 is an abundant number, since it is smaller than the sum of its proper divisors (907161640).

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

415415000 is a wasteful number, since it uses less digits than its factorization.

415415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 415415000 is about 20381.7320166859. The cubic root of 415415000 is about 746.1521442879.

Adding to 415415000 its reverse (514514), we get a palindrome (415929514).

The spelling of 415415000 in words is "four hundred fifteen million, four hundred fifteen thousand".