400145130 has 256 divisors, whose sum is σ = 1401753600. Its totient is φ = 78693120.

The previous prime is 400145129. The next prime is 400145131. The reversal of 400145130 is 31541004.

It is a happy number.

400145130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (400145129) and next prime (400145131).

It is a super-2 number, since 2×400145130² = 320232250125433800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400145131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394504 + ... + 395516.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2^400145130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700876800).

400145130 is an abundant number, since it is smaller than the sum of its proper divisors (1001608470).

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

400145130 is a wasteful number, since it uses less digits than its factorization.

400145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400145130 is about 20003.6279209547. The cubic root of 400145130 is about 736.8953995350.

Adding to 400145130 its reverse (31541004), we get a palindrome (431686134).

It can be divided in two parts, 400 and 145130, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 400145130 in words is "four hundred million, one hundred forty-five thousand, one hundred thirty".