1004157504 has 336 divisors, whose sum is σ = 3469160448. Its totient is φ = 271724544.

The previous prime is 1004157499. The next prime is 1004157533. The reversal of 1004157504 is 4057514001.

It is a happy number.

1004157504 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 157 + 504 = 666.

1004157504 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 (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7906689 + ... + 7906815.

Almost surely, 2^1004157504 is an apocalyptic number.

1004157504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734580224).

1004157504 is an abundant number, since it is smaller than the sum of its proper divisors (2465002944).

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

1004157504 is a wasteful number, since it uses less digits than its factorization.

1004157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1004157504 is about 31688.4443291241. Note that the first 3 decimals coincide. The cubic root of 1004157504 is about 1001.3839185526.

The spelling of 1004157504 in words is "one billion, four million, one hundred fifty-seven thousand, five hundred four".