406909440 has 480 divisors, whose sum is σ = 1710783360. Its totient is φ = 89800704.

The previous prime is 406909439. The next prime is 406909457. The reversal of 406909440 is 44909604.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×406909440² = 331150584722227200, 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 = 406909395 and 406909404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14031346 + ... + 14031374.

It is an arithmetic number, because the mean of its divisors is an integer number (3564132).

Almost surely, 2^406909440 is an apocalyptic number.

406909440 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 406909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855391680).

406909440 is an abundant number, since it is smaller than the sum of its proper divisors (1303873920).

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

406909440 is an equidigital number, since it uses as much as digits as its factorization.

406909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 406909440 is about 20171.9964306957. The cubic root of 406909440 is about 741.0245365509.

The spelling of 406909440 in words is "four hundred six million, nine hundred nine thousand, four hundred forty".