415516640 has 192 divisors, whose sum is σ = 1267176960. Its totient is φ = 124938240.

The previous prime is 415516639. The next prime is 415516649. The reversal of 415516640 is 46615514.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 415516597 and 415516606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415516649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356699 + ... + 357861.

It is an arithmetic number, because the mean of its divisors is an integer number (6599880).

Almost surely, 2^415516640 is an apocalyptic number.

415516640 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 415516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633588480).

415516640 is an abundant number, since it is smaller than the sum of its proper divisors (851660320).

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

415516640 is a wasteful number, since it uses less digits than its factorization.

415516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 415516640 is about 20384.2252734805. The cubic root of 415516640 is about 746.2129932538.

The spelling of 415516640 in words is "four hundred fifteen million, five hundred sixteen thousand, six hundred forty".