415621440 has 336 divisors, whose sum is σ = 1632588048. Its totient is φ = 96141312.

The previous prime is 415621397. The next prime is 415621463. The reversal of 415621440 is 44126514.

It can be written as a sum of positive squares in 8 ways, for example, as 27373824 + 388247616 = 5232^2 + 19704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636154 + ... + 636806.

It is an arithmetic number, because the mean of its divisors is an integer number (4858893).

Almost surely, 2^415621440 is an apocalyptic number.

415621440 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 415621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816294024).

415621440 is an abundant number, since it is smaller than the sum of its proper divisors (1216966608).

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

415621440 is a wasteful number, since it uses less digits than its factorization.

415621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415621440 is about 20386.7957266462. The cubic root of 415621440 is about 746.2757236320.

Adding to 415621440 its reverse (44126514), we get a palindrome (459747954).

The spelling of 415621440 in words is "four hundred fifteen million, six hundred twenty-one thousand, four hundred forty".