403947648 has 288 divisors, whose sum is σ = 1335030060. Its totient is φ = 120932352.

The previous prime is 403947647. The next prime is 403947653. The reversal of 403947648 is 846749304.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 419904 = 20088^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (403947647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10917486 + ... + 10917522.

Almost surely, 2^403947648 is an apocalyptic number.

403947648 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 403947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667515030).

403947648 is an abundant number, since it is smaller than the sum of its proper divisors (931082412).

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

403947648 is an frugal number, since it uses more digits than its factorization.

403947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 403947648 is about 20098.4488953750. The cubic root of 403947648 is about 739.2222459151. Note that the first 4 decimals are identical.

The spelling of 403947648 in words is "four hundred three million, nine hundred forty-seven thousand, six hundred forty-eight".