1009912464 has 180 divisors, whose sum is σ = 3135541500. Its totient is φ = 303198720.

The previous prime is 1009912439. The next prime is 1009912471. The reversal of 1009912464 is 4642199001.

It is a happy number.

1009912464 is a `hidden beast` number, since 100 + 9 + 91 + 2 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174240000 + 835672464 = 13200^2 + 28908^2 .

It is a super-3 number, since 3×1009912464³ (a number of 28 digits) contains 333 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 2595982 + ... + 2596370.

It is an arithmetic number, because the mean of its divisors is an integer number (17419675).

Almost surely, 2^1009912464 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 1009912464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567770750).

1009912464 is an abundant number, since it is smaller than the sum of its proper divisors (2125629036).

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

1009912464 is a wasteful number, since it uses less digits than its factorization.

1009912464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1009912464 is about 31779.1199374684. The cubic root of 1009912464 is about 1003.2932969557.

The spelling of 1009912464 in words is "one billion, nine million, nine hundred twelve thousand, four hundred sixty-four".