1003488000 has 144 divisors (see below), whose sum is σ = 3333404256. Its totient is φ = 267571200.

The previous prime is 1003487993. The next prime is 1003488041. The reversal of 1003488000 is 8843001.

It is a super-2 number, since 2×1003488000² = 2013976332288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90774 + ... + 101226.

Almost surely, 2^1003488000 is an apocalyptic number.

1003488000 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 1003488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666702128).

1003488000 is an abundant number, since it is smaller than the sum of its proper divisors (2329916256).

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

1003488000 is an equidigital number, since it uses as much as digits as its factorization.

1003488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10487 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1003488000 is about 31677.8787168586. The cubic root of 1003488000 is about 1001.1613174863.

The spelling of 1003488000 in words is "one billion, three million, four hundred eighty-eight thousand".