406131456 has 72 divisors (see below), whose sum is σ = 1099344960. Its totient is φ = 133067776.

The previous prime is 406131449. The next prime is 406131463. The reversal of 406131456 is 654131604.

It is an interprime number because it is at equal distance from previous prime (406131449) and next prime (406131463).

It is a super-3 number, since 3×406131456³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40831 + ... + 49793.

It is an arithmetic number, because the mean of its divisors is an integer number (15268680).

Almost surely, 2^406131456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549672480).

406131456 is an abundant number, since it is smaller than the sum of its proper divisors (693213504).

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

406131456 is an equidigital number, since it uses as much as digits as its factorization.

406131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 406131456 is about 20152.7034414740. The cubic root of 406131456 is about 740.5519719125.

The spelling of 406131456 in words is "four hundred six million, one hundred thirty-one thousand, four hundred fifty-six".