400013145 has 48 divisors (see below), whose sum is σ = 839030400. Its totient is φ = 172104192.

The previous prime is 400013143. The next prime is 400013147. The reversal of 400013145 is 541310004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400013143) and next prime (400013147).

It is not a de Polignac number, because 400013145 - 2¹ = 400013143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400013143) 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, 31995 + ... + 42704.

It is an arithmetic number, because the mean of its divisors is an integer number (17479800).

Almost surely, 2^400013145 is an apocalyptic number.

400013145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400013145 is an abundant number, since it is smaller than the sum of its proper divisors (439017255).

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

400013145 is a wasteful number, since it uses less digits than its factorization.

400013145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74734 (or 74731 counting only the distinct ones).

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

The square root of 400013145 is about 20000.3286223002. The cubic root of 400013145 is about 736.8143707387.

Adding to 400013145 its reverse (541310004), we get a palindrome (941323149).

The spelling of 400013145 in words is "four hundred million, thirteen thousand, one hundred forty-five".