407795256528 has 160 divisors (see below), whose sum is σ = 1154075848704. Its totient is φ = 123055680000.

The previous prime is 407795256521. The next prime is 407795256563. The reversal of 407795256528 is 825652597704.

It is a super-2 number, since 2×407795256528² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407795256521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150421093 + ... + 150423803.

Almost surely, 2^407795256528 is an apocalyptic number.

407795256528 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 407795256528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577037924352).

407795256528 is an abundant number, since it is smaller than the sum of its proper divisors (746280592176).

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

407795256528 is a wasteful number, since it uses less digits than its factorization.

407795256528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 407795256528 in words is "four hundred seven billion, seven hundred ninety-five million, two hundred fifty-six thousand, five hundred twenty-eight".