415172160 has 252 divisors, whose sum is σ = 1548129492. Its totient is φ = 102076416.

The previous prime is 415172137. The next prime is 415172183. The reversal of 415172160 is 61271514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (415172137) and next prime (415172183).

It can be written as a sum of positive squares in 6 ways, for example, as 185831424 + 229340736 = 13632^2 + 15144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486294 + ... + 487146.

It is an arithmetic number, because the mean of its divisors is an integer number (6143371).

Almost surely, 2^415172160 is an apocalyptic number.

415172160 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 415172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774064746).

415172160 is an abundant number, since it is smaller than the sum of its proper divisors (1132957332).

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

415172160 is a wasteful number, since it uses less digits than its factorization.

415172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 415172160 is about 20375.7738503351. The cubic root of 415172160 is about 746.0067227171.

The spelling of 415172160 in words is "four hundred fifteen million, one hundred seventy-two thousand, one hundred sixty".