415274160 has 160 divisors (see below), whose sum is σ = 1481905152. Its totient is φ = 94233600.

The previous prime is 415274159. The next prime is 415274161. The reversal of 415274160 is 61472514.

It is an interprime number because it is at equal distance from previous prime (415274159) and next prime (415274161).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (415274161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252862 + ... + 254498.

Almost surely, 2^415274160 is an apocalyptic number.

415274160 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 415274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

415274160 is an abundant number, since it is smaller than the sum of its proper divisors (1066630992).

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

415274160 is a wasteful number, since it uses less digits than its factorization.

415274160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 415274160 is about 20378.2766690415. The cubic root of 415274160 is about 746.0678109935.

The spelling of 415274160 in words is "four hundred fifteen million, two hundred seventy-four thousand, one hundred sixty".