407050359552 has 216 divisors, whose sum is σ = 1180869777360. Its totient is φ = 134849003520.

The previous prime is 407050359487. The next prime is 407050359559. The reversal of 407050359552 is 255953050704.

407050359552 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 5 + 0 + 3 + 595 + 52 = 666.

It is a super-2 number, since 2×407050359552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407050359498 and 407050359507.

It is not an unprimeable number, because it can be changed into a prime (407050359559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399460099 + ... + 399461117.

It is an arithmetic number, because the mean of its divisors is an integer number (5466989710).

Almost surely, 2^407050359552 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 407050359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590434888680).

407050359552 is an abundant number, since it is smaller than the sum of its proper divisors (773819417808).

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

407050359552 is a wasteful number, since it uses less digits than its factorization.

407050359552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 407050359552 in words is "four hundred seven billion, fifty million, three hundred fifty-nine thousand, five hundred fifty-two".