415020240 has 160 divisors (see below), whose sum is σ = 1436812800. Its totient is φ = 110108160.

The previous prime is 415020209. The next prime is 415020283. The reversal of 415020240 is 42020514.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585006 + ... + 585714.

It is an arithmetic number, because the mean of its divisors is an integer number (8980080).

Almost surely, 2^415020240 is an apocalyptic number.

415020240 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 415020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718406400).

415020240 is an abundant number, since it is smaller than the sum of its proper divisors (1021792560).

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

415020240 is a wasteful number, since it uses less digits than its factorization.

415020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 415020240 is about 20372.0455526685. The cubic root of 415020240 is about 745.9157185677.

Adding to 415020240 its reverse (42020514), we get a palindrome (457040754).

The spelling of 415020240 in words is "four hundred fifteen million, twenty thousand, two hundred forty".