1004782464 has 96 divisors (see below), whose sum is σ = 3304445040. Its totient is φ = 287078400.

The previous prime is 1004782463. The next prime is 1004782481. The reversal of 1004782464 is 4642874001.

1004782464 is a `hidden beast` number, since 100 + 478 + 24 + 64 = 666.

1004782464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1004782464² = 2019175599923822592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004782463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54237 + ... + 70364.

Almost surely, 2^1004782464 is an apocalyptic number.

1004782464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004782464 is an abundant number, since it is smaller than the sum of its proper divisors (2299662576).

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

1004782464 is a wasteful number, since it uses less digits than its factorization.

1004782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124628 (or 124613 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1004782464 is about 31698.3038032006. The cubic root of 1004782464 is about 1001.5916200682.

The spelling of 1004782464 in words is "one billion, four million, seven hundred eighty-two thousand, four hundred sixty-four".