1003924240 has 160 divisors (see below), whose sum is σ = 2681185536. Its totient is φ = 346030080.

The previous prime is 1003924213. The next prime is 1003924249. The reversal of 1003924240 is 424293001.

It is not an unprimeable number, because it can be changed into a prime (1003924249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3906192 + ... + 3906448.

Almost surely, 2^1003924240 is an apocalyptic number.

1003924240 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 1003924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340592768).

1003924240 is an abundant number, since it is smaller than the sum of its proper divisors (1677261296).

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

1003924240 is a wasteful number, since it uses less digits than its factorization.

1003924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1003924240 is about 31684.7635307572. The cubic root of 1003924240 is about 1001.3063726474.

The spelling of 1003924240 in words is "one billion, three million, nine hundred twenty-four thousand, two hundred forty".