401717760 has 160 divisors (see below), whose sum is σ = 1352324160. Its totient is φ = 101449728.

The previous prime is 401717749. The next prime is 401717761. The reversal of 401717760 is 67717104.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×401717760² = 322754317398835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401717761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144544 + ... + 147296.

It is an arithmetic number, because the mean of its divisors is an integer number (8452026).

Almost surely, 2^401717760 is an apocalyptic number.

401717760 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 401717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676162080).

401717760 is an abundant number, since it is smaller than the sum of its proper divisors (950606400).

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

401717760 is a wasteful number, since it uses less digits than its factorization.

401717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 401717760 is about 20042.8979940527. The cubic root of 401717760 is about 737.8595071902.

The spelling of 401717760 in words is "four hundred one million, seven hundred seventeen thousand, seven hundred sixty".