403834400 has 72 divisors (see below), whose sum is σ = 992686464. Its totient is φ = 160416000.

The previous prime is 403834399. The next prime is 403834411. The reversal of 403834400 is 4438304.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 403834400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119129 + ... + 122471.

It is an arithmetic number, because the mean of its divisors is an integer number (13787312).

Almost surely, 2^403834400 is an apocalyptic number.

403834400 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 403834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496343232).

403834400 is an abundant number, since it is smaller than the sum of its proper divisors (588852064).

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

403834400 is a wasteful number, since it uses less digits than its factorization.

403834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 403834400 is about 20095.6313660457. The cubic root of 403834400 is about 739.1531583606.

The spelling of 403834400 in words is "four hundred three million, eight hundred thirty-four thousand, four hundred".