5460609600 has 336 divisors, whose sum is σ = 20398069440. Its totient is φ = 1420185600.

The previous prime is 5460609563. The next prime is 5460609611. The reversal of 5460609600 is 69060645.

It is a happy number.

5460609600 is a `hidden beast` number, since 5 + 46 + 0 + 6 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×5460609600² = 59636514407224320000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1769659 + ... + 1772741.

It is an arithmetic number, because the mean of its divisors is an integer number (60708540).

Almost surely, 2^5460609600 is an apocalyptic number.

5460609600 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 5460609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199034720).

5460609600 is an abundant number, since it is smaller than the sum of its proper divisors (14937459840).

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

5460609600 is a wasteful number, since it uses less digits than its factorization.

5460609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5460609600 is about 73895.9376420653. The cubic root of 5460609600 is about 1760.9500724449.

The spelling of 5460609600 in words is "five billion, four hundred sixty million, six hundred nine thousand, six hundred".