415145808 has 120 divisors (see below), whose sum is σ = 1448556096. Its totient is φ = 107827200.

The previous prime is 415145803. The next prime is 415145833. The reversal of 415145808 is 808541514.

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 (415145803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7633 + ... + 29808.

Almost surely, 2^415145808 is an apocalyptic number.

415145808 is a gapful number since it is divisible by the number (48) 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 415145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724278048).

415145808 is an abundant number, since it is smaller than the sum of its proper divisors (1033410288).

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

415145808 is a wasteful number, since it uses less digits than its factorization.

415145808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37473 (or 37464 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 415145808 is about 20375.1271897871. The cubic root of 415145808 is about 745.9909387548.

The spelling of 415145808 in words is "four hundred fifteen million, one hundred forty-five thousand, eight hundred eight".