407960983980 has 864 divisors, whose sum is σ = 1499260771008. Its totient is φ = 89340641280.

The previous prime is 407960983979. The next prime is 407960983981. The reversal of 407960983980 is 89389069704.

407960983980 is a `hidden beast` number, since 407 + 9 + 60 + 9 + 83 + 98 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (407960983979) and next prime (407960983981).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (407960983981) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1328862987 + ... + 1328863293.

It is an arithmetic number, because the mean of its divisors is an integer number (1735255522).

Almost surely, 2^407960983980 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 407960983980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749630385504).

407960983980 is an abundant number, since it is smaller than the sum of its proper divisors (1091299787028).

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

407960983980 is a wasteful number, since it uses less digits than its factorization.

407960983980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 407960983980 in words is "four hundred seven billion, nine hundred sixty million, nine hundred eighty-three thousand, nine hundred eighty".