400145382 has 96 divisors (see below), whose sum is σ = 1073479680. Its totient is φ = 104898240.

The previous prime is 400145381. The next prime is 400145387. The reversal of 400145382 is 283541004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400145381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312219 + ... + 313497.

It is an arithmetic number, because the mean of its divisors is an integer number (11182080).

Almost surely, 2^400145382 is an apocalyptic number.

400145382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400145382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536739840).

400145382 is an abundant number, since it is smaller than the sum of its proper divisors (673334298).

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

400145382 is a wasteful number, since it uses less digits than its factorization.

400145382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400145382 is about 20003.6342198112. The cubic root of 400145382 is about 736.8955542268.

Adding to 400145382 its reverse (283541004), we get a palindrome (683686386).

The spelling of 400145382 in words is "four hundred million, one hundred forty-five thousand, three hundred eighty-two".