407820976632 has 224 divisors, whose sum is σ = 1232505273600. Its totient is φ = 126043843392.

The previous prime is 407820976631. The next prime is 407820976639. The reversal of 407820976632 is 236679028704.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407820976631) 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 55 ways as a sum of consecutive naturals, for example, 5168823 + ... + 5247129.

Almost surely, 2^407820976632 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 407820976632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616252636800).

407820976632 is an abundant number, since it is smaller than the sum of its proper divisors (824684296968).

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

407820976632 is a wasteful number, since it uses less digits than its factorization.

407820976632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78397 (or 78378 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 407820976632 in words is "four hundred seven billion, eight hundred twenty million, nine hundred seventy-six thousand, six hundred thirty-two".