407988768 has 192 divisors, whose sum is σ = 1227792384. Its totient is φ = 118483200.

The previous prime is 407988761. The next prime is 407988787. The reversal of 407988768 is 867889704.

It is not an unprimeable number, because it can be changed into a prime (407988761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3961005 + ... + 3961107.

It is an arithmetic number, because the mean of its divisors is an integer number (6394752).

Almost surely, 2^407988768 is an apocalyptic number.

407988768 is a gapful number since it is divisible by the number (48) 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 407988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613896192).

407988768 is an abundant number, since it is smaller than the sum of its proper divisors (819803616).

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

407988768 is a wasteful number, since it uses less digits than its factorization.

407988768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The square root of 407988768 is about 20198.7318413805. The cubic root of 407988768 is about 741.6791477314.

The spelling of 407988768 in words is "four hundred seven million, nine hundred eighty-eight thousand, seven hundred sixty-eight".