406750440 has 128 divisors (see below), whose sum is σ = 1251169920. Its totient is φ = 105753600.

The previous prime is 406750429. The next prime is 406750451. The reversal of 406750440 is 44057604.

It is an interprime number because it is at equal distance from previous prime (406750429) and next prime (406750451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 406750398 and 406750407.

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 31 ways as a sum of consecutive naturals, for example, 1324767 + ... + 1325073.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2^406750440 is an apocalyptic number.

406750440 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 406750440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

406750440 is an abundant number, since it is smaller than the sum of its proper divisors (844419480).

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

406750440 is a wasteful number, since it uses less digits than its factorization.

406750440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 406750440 is about 20168.0549384416. The cubic root of 406750440 is about 740.9280054479.

The spelling of 406750440 in words is "four hundred six million, seven hundred fifty thousand, four hundred forty".