407085539328 has 168 divisors, whose sum is σ = 1266414025968. Its totient is φ = 125256794112.

The previous prime is 407085539323. The next prime is 407085539351. The reversal of 407085539328 is 823935580704.

407085539328 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 85 + 539 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407085539323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746101 + ... + 1170827.

It is an arithmetic number, because the mean of its divisors is an integer number (7538178726).

Almost surely, 2^407085539328 is an apocalyptic number.

407085539328 is a gapful number since it is divisible by the number (48) 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 407085539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633207012984).

407085539328 is an abundant number, since it is smaller than the sum of its proper divisors (859328486640).

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

407085539328 is a wasteful number, since it uses less digits than its factorization.

407085539328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424772 (or 424745 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 407085539328 in words is "four hundred seven billion, eighty-five million, five hundred thirty-nine thousand, three hundred twenty-eight".