403628400 has 480 divisors, whose sum is σ = 1734412800. Its totient is φ = 87091200.

The previous prime is 403628387. The next prime is 403628411. The reversal of 403628400 is 4826304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436260 + ... + 1436540.

It is an arithmetic number, because the mean of its divisors is an integer number (3613360).

Almost surely, 2^403628400 is an apocalyptic number.

403628400 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 403628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867206400).

403628400 is an abundant number, since it is smaller than the sum of its proper divisors (1330784400).

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

403628400 is a wasteful number, since it uses less digits than its factorization.

403628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 403628400 is about 20090.5052201282. The cubic root of 403628400 is about 739.0274538237.

The spelling of 403628400 in words is "four hundred three million, six hundred twenty-eight thousand, four hundred".