5464884600 has 576 divisors, whose sum is σ = 22952816640. Its totient is φ = 1136332800.

The previous prime is 5464884599. The next prime is 5464884611. The reversal of 5464884600 is 64884645.

5464884600 is a `hidden beast` number, since 54 + 64 + 88 + 460 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 6639789 + ... + 6640611.

It is an arithmetic number, because the mean of its divisors is an integer number (39848640).

Almost surely, 2^5464884600 is an apocalyptic number.

5464884600 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 5464884600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476408320).

5464884600 is an abundant number, since it is smaller than the sum of its proper divisors (17487932040).

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

5464884600 is a wasteful number, since it uses less digits than its factorization.

5464884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5464884600 is about 73924.8577949258. The cubic root of 5464884600 is about 1761.4094898874.

Adding to 5464884600 its sum of digits (45), we get a palindrome (5464884645).

The spelling of 5464884600 in words is "five billion, four hundred sixty-four million, eight hundred eighty-four thousand, six hundred".