5461779400 has 96 divisors (see below), whose sum is σ = 15832111680. Its totient is φ = 1702368000.

The previous prime is 5461779391. The next prime is 5461779413. The reversal of 5461779400 is 49771645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161931 + ... + 192730.

It is an arithmetic number, because the mean of its divisors is an integer number (164917830).

Almost surely, 2^5461779400 is an apocalyptic number.

5461779400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5461779400 is an abundant number, since it is smaller than the sum of its proper divisors (10370332280).

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

5461779400 is a wasteful number, since it uses less digits than its factorization.

5461779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354695 (or 354686 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 5461779400 is about 73903.8524029702. The cubic root of 5461779400 is about 1761.0758100740.

The spelling of 5461779400 in words is "five billion, four hundred sixty-one million, seven hundred seventy-nine thousand, four hundred".