5461457904 has 120 divisors (see below), whose sum is σ = 17839810560. Its totient is φ = 1527202944.

The previous prime is 5461457873. The next prime is 5461457923. The reversal of 5461457904 is 4097541645.

5461457904 is a `hidden beast` number, since 54 + 61 + 457 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5461457904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10264 + ... + 105015.

It is an arithmetic number, because the mean of its divisors is an integer number (148665088).

Almost surely, 2^5461457904 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 5461457904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919905280).

5461457904 is an abundant number, since it is smaller than the sum of its proper divisors (12378352656).

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

5461457904 is a wasteful number, since it uses less digits than its factorization.

5461457904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115347 (or 115338 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5461457904 is about 73901.6772746059. The cubic root of 5461457904 is about 1761.0412554050.

The spelling of 5461457904 in words is "five billion, four hundred sixty-one million, four hundred fifty-seven thousand, nine hundred four".