406139440 has 240 divisors, whose sum is σ = 1190548800. Its totient is φ = 128701440.

The previous prime is 406139411. The next prime is 406139443. The reversal of 406139440 is 44931604.

It is not an unprimeable number, because it can be changed into a prime (406139443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9905820 + ... + 9905860.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2^406139440 is an apocalyptic number.

406139440 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 406139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595274400).

406139440 is an abundant number, since it is smaller than the sum of its proper divisors (784409360).

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

406139440 is a wasteful number, since it uses less digits than its factorization.

406139440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 406139440 is about 20152.9015280679. The cubic root of 406139440 is about 740.5568246337.

The spelling of 406139440 in words is "four hundred six million, one hundred thirty-nine thousand, four hundred forty".