400332660 has 384 divisors, whose sum is σ = 1544417280. Its totient is φ = 74981376.

The previous prime is 400332659. The next prime is 400332661. The reversal of 400332660 is 66233004.

It is an interprime number because it is at equal distance from previous prime (400332659) and next prime (400332661).

It is a self number, because there is not a number n which added to its sum of digits gives 400332660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400332661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1763467 + ... + 1763693.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^400332660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400332660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

400332660 is an abundant number, since it is smaller than the sum of its proper divisors (1144084620).

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

400332660 is a wasteful number, since it uses less digits than its factorization.

400332660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 400332660 is about 20008.3147716143. The cubic root of 400332660 is about 737.0104981177.

Adding to 400332660 its reverse (66233004), we get a palindrome (466565664).

It can be divided in two parts, 4003 and 32660, that added together give a palindrome (36663).

The spelling of 400332660 in words is "four hundred million, three hundred thirty-two thousand, six hundred sixty".