417661440 has 320 divisors, whose sum is σ = 1619253504. Its totient is φ = 89653248.

The previous prime is 417661417. The next prime is 417661441. The reversal of 417661440 is 44166714.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417661441) 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, 913692 + ... + 914148.

Almost surely, 2^417661440 is an apocalyptic number.

417661440 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 417661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809626752).

417661440 is an abundant number, since it is smaller than the sum of its proper divisors (1201592064).

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

417661440 is a wasteful number, since it uses less digits than its factorization.

417661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 417661440 is about 20436.7668675845. The cubic root of 417661440 is about 747.4947162783.

The spelling of 417661440 in words is "four hundred seventeen million, six hundred sixty-one thousand, four hundred forty".