400830 has 32 divisors (see below), whose sum is σ = 995328. Its totient is φ = 103200.

The previous prime is 400823. The next prime is 400837. The reversal of 400830 is 38004.

400830 = T₁₀ + T₁₁ + ... + T₁₃₃.

400830 is digitally balanced in base 3, 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 (400823) and next prime (400837).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400837) by changing a digit.

400830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (31104).

2⁴⁰⁰⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664).

400830 is an abundant number, since it is smaller than the sum of its proper divisors (594498).

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

400830 is a wasteful number, since it uses less digits than its factorization.

400830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400830 is about 633.1113646113. Note that the first 3 decimals coincide. The cubic root of 400830 is about 73.7315572001.

Adding to 400830 its reverse (38004), we get a palindrome (438834).

The spelling of 400830 in words is "four hundred thousand, eight hundred thirty".