417403748352 has 240 divisors, whose sum is σ = 1142543872512. Its totient is φ = 135478640640.

The previous prime is 417403748347. The next prime is 417403748417. The reversal of 417403748352 is 253847304714.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649150143 + ... + 649150785.

Almost surely, 2^417403748352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417403748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571271936256).

417403748352 is an abundant number, since it is smaller than the sum of its proper divisors (725140124160).

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

417403748352 is an equidigital number, since it uses as much as digits as its factorization.

417403748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 417403748352 in words is "four hundred seventeen billion, four hundred three million, seven hundred forty-eight thousand, three hundred fifty-two".