5464486800 has 360 divisors, whose sum is σ = 20828729376. Its totient is φ = 1371064320.

The previous prime is 5464486799. The next prime is 5464486823. The reversal of 5464486800 is 86844645.

5464486800 is a `hidden beast` number, since 546 + 4 + 48 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1650747 + ... + 1654053.

Almost surely, 2^5464486800 is an apocalyptic number.

5464486800 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 5464486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414364688).

5464486800 is an abundant number, since it is smaller than the sum of its proper divisors (15364242576).

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

5464486800 is a wasteful number, since it uses less digits than its factorization.

5464486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3334 counting only the distinct ones).

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

The square root of 5464486800 is about 73922.1671760237. The cubic root of 5464486800 is about 1761.3667499976.

The spelling of 5464486800 in words is "five billion, four hundred sixty-four million, four hundred eighty-six thousand, eight hundred".