1003634464 has 96 divisors (see below), whose sum is σ = 2343600000. Its totient is φ = 422795520.

The previous prime is 1003634413. The next prime is 1003634483. The reversal of 1003634464 is 4644363001.

It is a happy number.

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, 668787 + ... + 670285.

It is an arithmetic number, because the mean of its divisors is an integer number (24412500).

Almost surely, 2^1003634464 is an apocalyptic number.

1003634464 is a gapful number since it is divisible by the number (14) 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 1003634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800000).

1003634464 is an abundant number, since it is smaller than the sum of its proper divisors (1339965536).

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

1003634464 is an equidigital number, since it uses as much as digits as its factorization.

1003634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 1003634464 is about 31680.1904034682. The cubic root of 1003634464 is about 1001.2100232532.

Adding to 1003634464 its reverse (4644363001), we get a palindrome (5647997465).

The spelling of 1003634464 in words is "one billion, three million, six hundred thirty-four thousand, four hundred sixty-four".