415351104 has 112 divisors (see below), whose sum is σ = 1285329408. Its totient is φ = 115895808.

The previous prime is 415351081. The next prime is 415351109. The reversal of 415351104 is 401153514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415351109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54199 + ... + 61385.

Almost surely, 2^415351104 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 415351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642664704).

415351104 is an abundant number, since it is smaller than the sum of its proper divisors (869978304).

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

415351104 is a wasteful number, since it uses less digits than its factorization.

415351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 415351104 is about 20380.1644743118. The cubic root of 415351104 is about 746.1138864958.

The spelling of 415351104 in words is "four hundred fifteen million, three hundred fifty-one thousand, one hundred four".