405980659920 has 320 divisors, whose sum is σ = 1478867632128. Its totient is φ = 91103232000.

The previous prime is 405980659867. The next prime is 405980659921. The reversal of 405980659920 is 29956089504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405980659921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774480 + ... + 1990160.

Almost surely, 2^405980659920 is an apocalyptic number.

405980659920 is a gapful number since it is divisible by the number (40) 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 405980659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739433816064).

405980659920 is an abundant number, since it is smaller than the sum of its proper divisors (1072886972208).

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

405980659920 is a wasteful number, since it uses less digits than its factorization.

405980659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215762 (or 215756 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 405980659920 in words is "four hundred five billion, nine hundred eighty million, six hundred fifty-nine thousand, nine hundred twenty".