401743680 has 112 divisors (see below), whose sum is σ = 1373697024. Its totient is φ = 98887680.

The previous prime is 401743627. The next prime is 401743681. The reversal of 401743680 is 86347104.

It is a super-2 number, since 2×401743680² = 322795968839884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401743681) 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, 3616 + ... + 28575.

It is an arithmetic number, because the mean of its divisors is an integer number (12265152).

Almost surely, 2^401743680 is an apocalyptic number.

401743680 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 401743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686848512).

401743680 is an abundant number, since it is smaller than the sum of its proper divisors (971953344).

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

401743680 is a wasteful number, since it uses less digits than its factorization.

401743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32224 (or 32214 counting only the distinct ones).

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

The square root of 401743680 is about 20043.5445967025. The cubic root of 401743680 is about 737.8753764638.

The spelling of 401743680 in words is "four hundred one million, seven hundred forty-three thousand, six hundred eighty".