406189440 has 192 divisors, whose sum is σ = 1419032160. Its totient is φ = 107053056.

The previous prime is 406189439. The next prime is 406189451. The reversal of 406189440 is 44981604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×406189440² = 329979722335027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406189395 and 406189404.

It is a congruent number.

It is an unprimeable number.

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, 558357 + ... + 559083.

Almost surely, 2^406189440 is an apocalyptic number.

406189440 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 406189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709516080).

406189440 is an abundant number, since it is smaller than the sum of its proper divisors (1012842720).

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

406189440 is a wasteful number, since it uses less digits than its factorization.

406189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 406189440 is about 20154.1420060493. The cubic root of 406189440 is about 740.5872134757.

The spelling of 406189440 in words is "four hundred six million, one hundred eighty-nine thousand, four hundred forty".