406198240 has 144 divisors (see below), whose sum is σ = 1126252512. Its totient is φ = 138034176.

The previous prime is 406198231. The next prime is 406198249. The reversal of 406198240 is 42891604.

It is an interprime number because it is at equal distance from previous prime (406198231) and next prime (406198249).

It is a junction number, because it is equal to n+sod(n) for n = 406198196 and 406198205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406198249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544349 + ... + 1544611.

It is an arithmetic number, because the mean of its divisors is an integer number (7821198).

Almost surely, 2^406198240 is an apocalyptic number.

406198240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563126256).

406198240 is an abundant number, since it is smaller than the sum of its proper divisors (720054272).

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

406198240 is a wasteful number, since it uses less digits than its factorization.

406198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 406198240 is about 20154.3603222727. The cubic root of 406198240 is about 740.5925616538.

The spelling of 406198240 in words is "four hundred six million, one hundred ninety-eight thousand, two hundred forty".