415204152 has 64 divisors (see below), whose sum is σ = 1139045760. Its totient is φ = 125078400.

The previous prime is 415204129. The next prime is 415204187. The reversal of 415204152 is 251402514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41127 + ... + 50217.

It is an arithmetic number, because the mean of its divisors is an integer number (17797590).

Almost surely, 2^415204152 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 415204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569522880).

415204152 is an abundant number, since it is smaller than the sum of its proper divisors (723841608).

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

415204152 is a wasteful number, since it uses less digits than its factorization.

415204152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 415204152 is about 20376.5588851504. The cubic root of 415204152 is about 746.0258839522.

Adding to 415204152 its reverse (251402514), we get a palindrome (666606666).

The spelling of 415204152 in words is "four hundred fifteen million, two hundred four thousand, one hundred fifty-two".