415151320 has 48 divisors (see below), whose sum is σ = 946632960. Its totient is φ = 163859904.

The previous prime is 415151291. The next prime is 415151323. The reversal of 415151320 is 23151514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 415151291 and 415151300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415151323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248809 + ... + 250471.

It is an arithmetic number, because the mean of its divisors is an integer number (19721520).

Almost surely, 2^415151320 is an apocalyptic number.

415151320 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 415151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473316480).

415151320 is an abundant number, since it is smaller than the sum of its proper divisors (531481640).

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

415151320 is a wasteful number, since it uses less digits than its factorization.

415151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 415151320 is about 20375.2624522974. The cubic root of 415151320 is about 745.9942403128.

The spelling of 415151320 in words is "four hundred fifteen million, one hundred fifty-one thousand, three hundred twenty".