403946400 has 432 divisors, whose sum is σ = 1570961952. Its totient is φ = 89548800.

The previous prime is 403946383. The next prime is 403946419. The reversal of 403946400 is 4649304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3775147 + ... + 3775253.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2^403946400 is an apocalyptic number.

403946400 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 403946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785480976).

403946400 is an abundant number, since it is smaller than the sum of its proper divisors (1167015552).

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

403946400 is a wasteful number, since it uses less digits than its factorization.

403946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 403946400 is about 20098.4178481790. The cubic root of 403946400 is about 739.2214846363.

The spelling of 403946400 in words is "four hundred three million, nine hundred forty-six thousand, four hundred".