407128680 has 320 divisors, whose sum is σ = 1620432000. Its totient is φ = 89703936.

The previous prime is 407128663. The next prime is 407128741. The reversal of 407128680 is 86821704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657411 + ... + 658029.

It is an arithmetic number, because the mean of its divisors is an integer number (5063850).

Almost surely, 2^407128680 is an apocalyptic number.

407128680 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 407128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216000).

407128680 is an abundant number, since it is smaller than the sum of its proper divisors (1213303320).

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

407128680 is a wasteful number, since it uses less digits than its factorization.

407128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 407128680 is about 20177.4299651863. The cubic root of 407128680 is about 741.1575989593.

The spelling of 407128680 in words is "four hundred seven million, one hundred twenty-eight thousand, six hundred eighty".