5461790400 has 756 divisors, whose sum is σ = 22467640104. Its totient is φ = 1247232000.

The previous prime is 5461790363. The next prime is 5461790401. The reversal of 5461790400 is 40971645.

5461790400 is a `hidden beast` number, since 546 + 1 + 79 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5461790401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 133214380 + ... + 133214420.

Almost surely, 2^5461790400 is an apocalyptic number.

5461790400 is a gapful number since it is divisible by the number (50) 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 5461790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233820052).

5461790400 is an abundant number, since it is smaller than the sum of its proper divisors (17005849704).

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

5461790400 is a wasteful number, since it uses less digits than its factorization.

5461790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5461790400 is about 73903.9268239516. The cubic root of 5461790400 is about 1761.0769923395.

The spelling of 5461790400 in words is "five billion, four hundred sixty-one million, seven hundred ninety thousand, four hundred".