403838880 has 96 divisors (see below), whose sum is σ = 1277736768. Its totient is φ = 107212800.

The previous prime is 403838879. The next prime is 403838909. The reversal of 403838880 is 88838304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113935 + ... + 117425.

It is an arithmetic number, because the mean of its divisors is an integer number (13309758).

Almost surely, 2^403838880 is an apocalyptic number.

403838880 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 403838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638868384).

403838880 is an abundant number, since it is smaller than the sum of its proper divisors (873897888).

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

403838880 is a wasteful number, since it uses less digits than its factorization.

403838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 403838880 is about 20095.7428327494. The cubic root of 403838880 is about 739.1558916542.

The spelling of 403838880 in words is "four hundred three million, eight hundred thirty-eight thousand, eight hundred eighty".