406877520528 has 120 divisors (see below), whose sum is σ = 1170122403008. Its totient is φ = 131886372096.

The previous prime is 406877520521. The next prime is 406877520529. The reversal of 406877520528 is 825025778604.

406877520528 is a `hidden beast` number, since 4 + 0 + 68 + 7 + 7 + 52 + 0 + 528 = 666.

It is a super-2 number, since 2×406877520528² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406877520521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9926925 + ... + 9967827.

Almost surely, 2^406877520528 is an apocalyptic number.

406877520528 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 406877520528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585061201504).

406877520528 is an abundant number, since it is smaller than the sum of its proper divisors (763244882480).

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

406877520528 is a wasteful number, since it uses less digits than its factorization.

406877520528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42821 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 406877520528 in words is "four hundred six billion, eight hundred seventy-seven million, five hundred twenty thousand, five hundred twenty-eight".