415630620 has 144 divisors (see below), whose sum is σ = 1371359808. Its totient is φ = 101468160.

The previous prime is 415630619. The next prime is 415630627. The reversal of 415630620 is 26036514.

415630620 is a `hidden beast` number, since 4 + 1 + 5 + 6 + 30 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415630627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111385 + ... + 115055.

It is an arithmetic number, because the mean of its divisors is an integer number (9523332).

Almost surely, 2^415630620 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 415630620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685679904).

415630620 is an abundant number, since it is smaller than the sum of its proper divisors (955729188).

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

415630620 is a wasteful number, since it uses less digits than its factorization.

415630620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 415630620 is about 20387.0208711327. The cubic root of 415630620 is about 746.2812180235.

The spelling of 415630620 in words is "four hundred fifteen million, six hundred thirty thousand, six hundred twenty".