400631760 has 120 divisors (see below), whose sum is σ = 1374197760. Its totient is φ = 104553216.

The previous prime is 400631753. The next prime is 400631761. The reversal of 400631760 is 67136004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400631761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27921 + ... + 39759.

It is an arithmetic number, because the mean of its divisors is an integer number (11451648).

Almost surely, 2^400631760 is an apocalyptic number.

400631760 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 400631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687098880).

400631760 is an abundant number, since it is smaller than the sum of its proper divisors (973566000).

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

400631760 is a wasteful number, since it uses less digits than its factorization.

400631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11896 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 400631760 is about 20015.7877686590. The cubic root of 400631760 is about 737.1939996452.

Adding to 400631760 its reverse (67136004), we get a palindrome (467767764).

The spelling of 400631760 in words is "four hundred million, six hundred thirty-one thousand, seven hundred sixty".