415451106 has 120 divisors (see below), whose sum is σ = 1092484800. Its totient is φ = 117654768.

The previous prime is 415451081. The next prime is 415451107. The reversal of 415451106 is 601154514.

415451106 is a `hidden beast` number, since 4 + 1 + 545 + 110 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 415451106.

It is not an unprimeable number, because it can be changed into a prime (415451107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1579531 + ... + 1579793.

It is an arithmetic number, because the mean of its divisors is an integer number (9104040).

Almost surely, 2^415451106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415451106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546242400).

415451106 is an abundant number, since it is smaller than the sum of its proper divisors (677033694).

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

415451106 is a wasteful number, since it uses less digits than its factorization.

415451106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 415451106 is about 20382.6177415954. The cubic root of 415451106 is about 746.1737610557.

The spelling of 415451106 in words is "four hundred fifteen million, four hundred fifty-one thousand, one hundred six".