401755680 has 192 divisors, whose sum is σ = 1420312320. Its totient is φ = 106057728.

The previous prime is 401755661. The next prime is 401755681. The reversal of 401755680 is 86557104.

It is a super-3 number, since 3×401755680³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401755681) 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, 487749 + ... + 488571.

It is an arithmetic number, because the mean of its divisors is an integer number (7397460).

Almost surely, 2^401755680 is an apocalyptic number.

401755680 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 401755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710156160).

401755680 is an abundant number, since it is smaller than the sum of its proper divisors (1018556640).

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

401755680 is a wasteful number, since it uses less digits than its factorization.

401755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 401755680 is about 20043.8439427172. The cubic root of 401755680 is about 737.8827231186.

The spelling of 401755680 in words is "four hundred one million, seven hundred fifty-five thousand, six hundred eighty".