401755560 has 128 divisors (see below), whose sum is σ = 1320364800. Its totient is φ = 97341440.

The previous prime is 401755547. The next prime is 401755631. The reversal of 401755560 is 65557104.

It is a super-2 number, since 2×401755560² = 322815059981827200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55765 + ... + 62555.

It is an arithmetic number, because the mean of its divisors is an integer number (10315350).

Almost surely, 2^401755560 is an apocalyptic number.

401755560 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 401755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660182400).

401755560 is an abundant number, since it is smaller than the sum of its proper divisors (918609240).

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

401755560 is a wasteful number, since it uses less digits than its factorization.

401755560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 401755560 is about 20043.8409492792. The cubic root of 401755560 is about 737.8826496527.

The spelling of 401755560 in words is "four hundred one million, seven hundred fifty-five thousand, five hundred sixty".