401959560 has 128 divisors (see below), whose sum is σ = 1289882880. Its totient is φ = 99852288.

The previous prime is 401959559. The next prime is 401959583. The reversal of 401959560 is 65959104.

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, 209164 + ... + 211076.

It is an arithmetic number, because the mean of its divisors is an integer number (10077210).

Almost surely, 2^401959560 is an apocalyptic number.

401959560 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 401959560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644941440).

401959560 is an abundant number, since it is smaller than the sum of its proper divisors (887923320).

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

401959560 is a wasteful number, since it uses less digits than its factorization.

401959560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 401959560 is about 20048.9291484608. The cubic root of 401959560 is about 738.0075204322.

The spelling of 401959560 in words is "four hundred one million, nine hundred fifty-nine thousand, five hundred sixty".