1504661004 has 144 divisors (see below), whose sum is σ = 4775097600. Its totient is φ = 388091520.

The previous prime is 1504660979. The next prime is 1504661017. The reversal of 1504661004 is 4001664051.

1504661004 is a `hidden beast` number, since 1 + 5 + 0 + 46 + 610 + 0 + 4 = 666.

1504661004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 411207 + ... + 414849.

It is an arithmetic number, because the mean of its divisors is an integer number (33160400).

Almost surely, 2^1504661004 is an apocalyptic number.

1504661004 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 1504661004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387548800).

1504661004 is an abundant number, since it is smaller than the sum of its proper divisors (3270436596).

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

1504661004 is a wasteful number, since it uses less digits than its factorization.

1504661004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1504661004 is about 38789.9600927869. The cubic root of 1504661004 is about 1145.8986871686.

The spelling of 1504661004 in words is "one billion, five hundred four million, six hundred sixty-one thousand, four".