1003921400 has 48 divisors (see below), whose sum is σ = 2471426640. Its totient is φ = 377945600.

The previous prime is 1003921393. The next prime is 1003921439. The reversal of 1003921400 is 41293001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144236 + ... + 151035.

It is an arithmetic number, because the mean of its divisors is an integer number (51488055).

Almost surely, 2^1003921400 is an apocalyptic number.

1003921400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003921400 is an abundant number, since it is smaller than the sum of its proper divisors (1467505240).

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

1003921400 is a wasteful number, since it uses less digits than its factorization.

1003921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295304 (or 295295 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1003921400 is about 31684.7187142319. The cubic root of 1003921400 is about 1001.3054284484.

The spelling of 1003921400 in words is "one billion, three million, nine hundred twenty-one thousand, four hundred".