203490400 has 72 divisors (see below), whose sum is σ = 501389784. Its totient is φ = 80640000.

The previous prime is 203490379. The next prime is 203490433. The reversal of 203490400 is 4094302.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 89275 + ... + 91525.

It is an arithmetic number, because the mean of its divisors is an integer number (6963747).

Almost surely, 2^203490400 is an apocalyptic number.

203490400 is a gapful number since it is divisible by the number (20) 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 203490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250694892).

203490400 is an abundant number, since it is smaller than the sum of its proper divisors (297899384).

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

203490400 is a wasteful number, since it uses less digits than its factorization.

203490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 203490400 is about 14265.0061338928. The cubic root of 203490400 is about 588.1859439383.

It can be divided in two parts, 2034 and 90400, that multiplied together give a square (183873600 = 13560²).

The spelling of 203490400 in words is "two hundred three million, four hundred ninety thousand, four hundred".