1004776416 has 72 divisors (see below), whose sum is σ = 3265529904. Its totient is φ = 287078400.

The previous prime is 1004776397. The next prime is 1004776417. The reversal of 1004776416 is 6146774001.

1004776416 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1004776416² = 2019151292299610112, 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 (1004776417) 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, 247185 + ... + 251216.

It is an arithmetic number, because the mean of its divisors is an integer number (45354582).

Almost surely, 2^1004776416 is an apocalyptic number.

1004776416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004776416 is an abundant number, since it is smaller than the sum of its proper divisors (2260753488).

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

1004776416 is a wasteful number, since it uses less digits than its factorization.

1004776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498424 (or 498413 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1004776416 is about 31698.2084036306. The cubic root of 1004776416 is about 1001.5896104663.

The spelling of 1004776416 in words is "one billion, four million, seven hundred seventy-six thousand, four hundred sixteen".