1003401200 has 240 divisors, whose sum is σ = 2702639520. Its totient is φ = 356352000.

The previous prime is 1003401163. The next prime is 1003401227. The reversal of 1003401200 is 21043001.

It is a happy number.

It is a super-2 number, since 2×1003401200² = 2013627936322880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16449170 + ... + 16449230.

It is an arithmetic number, because the mean of its divisors is an integer number (11260998).

Almost surely, 2^1003401200 is an apocalyptic number.

1003401200 is a gapful number since it is divisible by the number (10) 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 1003401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351319760).

1003401200 is an abundant number, since it is smaller than the sum of its proper divisors (1699238320).

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

1003401200 is a wasteful number, since it uses less digits than its factorization.

1003401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1003401200 is about 31676.5086459982. The cubic root of 1003401200 is about 1001.1324504053.

Adding to 1003401200 its reverse (21043001), we get a palindrome (1024444201).

It can be divided in two parts, 1003 and 401200, that multiplied together give a square (402403600 = 20060²).

The spelling of 1003401200 in words is "one billion, three million, four hundred one thousand, two hundred".