415361240 has 96 divisors (see below), whose sum is σ = 1102416480. Its totient is φ = 140410368.

The previous prime is 415361203. The next prime is 415361249. The reversal of 415361240 is 42163514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415361249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141629 + ... + 144531.

It is an arithmetic number, because the mean of its divisors is an integer number (11483505).

Almost surely, 2^415361240 is an apocalyptic number.

415361240 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 415361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551208240).

415361240 is an abundant number, since it is smaller than the sum of its proper divisors (687055240).

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

415361240 is a wasteful number, since it uses less digits than its factorization.

415361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 415361240 is about 20380.4131459595. The cubic root of 415361240 is about 746.1199556975.

The spelling of 415361240 in words is "four hundred fifteen million, three hundred sixty-one thousand, two hundred forty".