403894400 has 384 divisors, whose sum is σ = 1310332800. Its totient is φ = 119439360.

The previous prime is 403894369. The next prime is 403894409. The reversal of 403894400 is 4498304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (403894409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5532764 + ... + 5532836.

It is an arithmetic number, because the mean of its divisors is an integer number (3412325).

Almost surely, 2^403894400 is an apocalyptic number.

403894400 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 403894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655166400).

403894400 is an abundant number, since it is smaller than the sum of its proper divisors (906438400).

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

403894400 is a wasteful number, since it uses less digits than its factorization.

403894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 403894400 is about 20097.1241723785. The cubic root of 403894400 is about 739.1897632935.

The spelling of 403894400 in words is "four hundred three million, eight hundred ninety-four thousand, four hundred".