5462464800 has 144 divisors (see below), whose sum is σ = 19148149440. Its totient is φ = 1344599040.

The previous prime is 5462464759. The next prime is 5462464823. The reversal of 5462464800 is 84642645.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 56340 + ... + 118739.

It is an arithmetic number, because the mean of its divisors is an integer number (132973260).

Almost surely, 2^5462464800 is an apocalyptic number.

5462464800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5462464800 is an abundant number, since it is smaller than the sum of its proper divisors (13685684640).

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

5462464800 is a wasteful number, since it uses less digits than its factorization.

5462464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175115 (or 175102 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 5462464800 is about 73908.4893635366. The cubic root of 5462464800 is about 1761.1494729339.

The spelling of 5462464800 in words is "five billion, four hundred sixty-two million, four hundred sixty-four thousand, eight hundred".