407884680 has 256 divisors, whose sum is σ = 1568102400. Its totient is φ = 92378880.

The previous prime is 407884679. The next prime is 407884693. The reversal of 407884680 is 86488704.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232115 + ... + 1232445.

It is an arithmetic number, because the mean of its divisors is an integer number (6125400).

Almost surely, 2^407884680 is an apocalyptic number.

407884680 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 407884680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784051200).

407884680 is an abundant number, since it is smaller than the sum of its proper divisors (1160217720).

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

407884680 is a wasteful number, since it uses less digits than its factorization.

407884680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 407884680 is about 20196.1550796185. The cubic root of 407884680 is about 741.6160688174.

The spelling of 407884680 in words is "four hundred seven million, eight hundred eighty-four thousand, six hundred eighty".