1012418304 has 144 divisors (see below), whose sum is σ = 2816795520. Its totient is φ = 322416640.

The previous prime is 1012418291. The next prime is 1012418327. The reversal of 1012418304 is 4038142101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917459 + ... + 2917805.

It is an arithmetic number, because the mean of its divisors is an integer number (19561080).

Almost surely, 2^1012418304 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 1012418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408397760).

1012418304 is an abundant number, since it is smaller than the sum of its proper divisors (1804377216).

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

1012418304 is a wasteful number, since it uses less digits than its factorization.

1012418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

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

The square root of 1012418304 is about 31818.5213987074. The cubic root of 1012418304 is about 1004.1224169922.

The spelling of 1012418304 in words is "one billion, twelve million, four hundred eighteen thousand, three hundred four".