415740672 has 108 divisors (see below), whose sum is σ = 1261904280. Its totient is φ = 131272704.

The previous prime is 415740667. The next prime is 415740707. The reversal of 415740672 is 276047514.

It is a super-3 number, since 3×415740672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39028 + ... + 48524.

Almost surely, 2^415740672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630952140).

415740672 is an abundant number, since it is smaller than the sum of its proper divisors (846163608).

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

415740672 is a wasteful number, since it uses less digits than its factorization.

415740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 415740672 is about 20389.7197626647. The cubic root of 415740672 is about 746.3470797838.

The spelling of 415740672 in words is "four hundred fifteen million, seven hundred forty thousand, six hundred seventy-two".