415868640 has 192 divisors, whose sum is σ = 1448616960. Its totient is φ = 99440640.

The previous prime is 415868633. The next prime is 415868657. The reversal of 415868640 is 46868514.

It is a junction number, because it is equal to n+sod(n) for n = 415868592 and 415868601.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 416622 + ... + 417618.

It is an arithmetic number, because the mean of its divisors is an integer number (7544880).

Almost surely, 2^415868640 is an apocalyptic number.

415868640 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 415868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724308480).

415868640 is an abundant number, since it is smaller than the sum of its proper divisors (1032748320).

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

415868640 is a wasteful number, since it uses less digits than its factorization.

415868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 415868640 is about 20392.8575731799. The cubic root of 415868640 is about 746.4236489464.

The spelling of 415868640 in words is "four hundred fifteen million, eight hundred sixty-eight thousand, six hundred forty".