415640628 has 108 divisors (see below), whose sum is σ = 1160047980. Its totient is φ = 125379072.

The previous prime is 415640593. The next prime is 415640629. The reversal of 415640628 is 826046514.

415640628 is a `hidden beast` number, since 4 + 1 + 5 + 640 + 6 + 2 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4848804 + 410791824 = 2202^2 + 20268^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 415640592 and 415640601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415640629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321808 + ... + 323096.

It is an arithmetic number, because the mean of its divisors is an integer number (10741185).

Almost surely, 2^415640628 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 415640628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580023990).

415640628 is an abundant number, since it is smaller than the sum of its proper divisors (744407352).

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

415640628 is a wasteful number, since it uses less digits than its factorization.

415640628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 415640628 is about 20387.2663199361. The cubic root of 415640628 is about 746.2872078954.

The spelling of 415640628 in words is "four hundred fifteen million, six hundred forty thousand, six hundred twenty-eight".