400345140 has 192 divisors, whose sum is σ = 1253145600. Its totient is φ = 94887936.

The previous prime is 400345139. The next prime is 400345157. The reversal of 400345140 is 41543004.

It is a super-2 number, since 2×400345140² = 320552462243239200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4498216 + ... + 4498304.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2^400345140 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 400345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626572800).

400345140 is an abundant number, since it is smaller than the sum of its proper divisors (852800460).

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

400345140 is a wasteful number, since it uses less digits than its factorization.

400345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 400345140 is about 20008.6266395273. The cubic root of 400345140 is about 737.0181565781.

Adding to 400345140 its reverse (41543004), we get a palindrome (441888144).

The spelling of 400345140 in words is "four hundred million, three hundred forty-five thousand, one hundred forty".