415393920 has 192 divisors, whose sum is σ = 1488090240. Its totient is φ = 110730240.

The previous prime is 415393907. The next prime is 415393969. The reversal of 415393920 is 29393514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154185 + ... + 156855.

It is an arithmetic number, because the mean of its divisors is an integer number (7750470).

Almost surely, 2^415393920 is an apocalyptic number.

415393920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744045120).

415393920 is an abundant number, since it is smaller than the sum of its proper divisors (1072696320).

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

415393920 is an equidigital number, since it uses as much as digits as its factorization.

415393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 415393920 is about 20381.2148803745. The cubic root of 415393920 is about 746.1395230511.

The spelling of 415393920 in words is "four hundred fifteen million, three hundred ninety-three thousand, nine hundred twenty".