400330 has 48 divisors (see below), whose sum is σ = 902880. Its totient is φ = 127008.

The previous prime is 400321. The next prime is 400331. The reversal of 400330 is 33004.

400330 = T₁₉₀ + T₁₉₁ + ... + T₂₀₉.

It is a Harshad number since it is a multiple of its sum of digits (10).

400330 is a modest number, since divided by 330 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9289 + ... + 9331.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2⁴⁰⁰³³⁰ is an apocalyptic number.

400330 is an abundant number, since it is smaller than the sum of its proper divisors (502550).

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

400330 is a wasteful number, since it uses less digits than its factorization.

400330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 400330 is about 632.7163661547. The cubic root of 400330 is about 73.7008865765.

Adding to 400330 its reverse (33004), we get a palindrome (433334).

The spelling of 400330 in words is "four hundred thousand, three hundred thirty".