415350000 has 360 divisors, whose sum is σ = 1586710944. Its totient is φ = 100800000.

The previous prime is 415349993. The next prime is 415350007. The reversal of 415350000 is 53514.

It is an interprime number because it is at equal distance from previous prime (415349993) and next prime (415350007).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415350007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5849965 + ... + 5850035.

Almost surely, 2^415350000 is an apocalyptic number.

415350000 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 415350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793355472).

415350000 is an abundant number, since it is smaller than the sum of its proper divisors (1171360944).

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

415350000 is a wasteful number, since it uses less digits than its factorization.

415350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

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

The square root of 415350000 is about 20380.1373891345. The cubic root of 415350000 is about 746.1132254403.

The spelling of 415350000 in words is "four hundred fifteen million, three hundred fifty thousand".