1003198464 has 144 divisors (see below), whose sum is σ = 2977752960. Its totient is φ = 325140480.

The previous prime is 1003198459. The next prime is 1003198487. The reversal of 1003198464 is 4648913001.

1003198464 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 198 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681249 + ... + 682719.

It is an arithmetic number, because the mean of its divisors is an integer number (20678840).

Almost surely, 2^1003198464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488876480).

1003198464 is an abundant number, since it is smaller than the sum of its proper divisors (1974554496).

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

1003198464 is a wasteful number, since it uses less digits than its factorization.

1003198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1003198464 is about 31673.3083841900. The cubic root of 1003198464 is about 1001.0650199964.

The spelling of 1003198464 in words is "one billion, three million, one hundred ninety-eight thousand, four hundred sixty-four".