406256353280 has 152 divisors (see below), whose sum is σ = 1001484638808. Its totient is φ = 158091706368.

The previous prime is 406256353273. The next prime is 406256353337. The reversal of 406256353280 is 82353652604.

It can be written as a sum of positive squares in 4 ways, for example, as 48020586496 + 358235766784 = 219136^2 + 598528^2 .

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, 48492452 + ... + 48500828.

It is an arithmetic number, because the mean of its divisors is an integer number (6588714729).

Almost surely, 2^406256353280 is an apocalyptic number.

406256353280 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 406256353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500742319404).

406256353280 is an abundant number, since it is smaller than the sum of its proper divisors (595228285528).

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

406256353280 is an frugal number, since it uses more digits than its factorization.

406256353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 406256353280 in words is "four hundred six billion, two hundred fifty-six million, three hundred fifty-three thousand, two hundred eighty".