5409781200 has 90 divisors (see below), whose sum is σ = 18773455974. Its totient is φ = 1442607360.

The previous prime is 5409781183. The next prime is 5409781219. The reversal of 5409781200 is 21879045.

5409781200 is a `hidden beast` number, since 540 + 97 + 8 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76108176 + 5333673024 = 8724^2 + 73032^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 747759 + ... + 754958.

Almost surely, 2^5409781200 is an apocalyptic number.

5409781200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5409781200 is an abundant number, since it is smaller than the sum of its proper divisors (13363674774).

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

5409781200 is a wasteful number, since it uses less digits than its factorization.

5409781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502741 (or 1502727 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5409781200 is about 73551.2148098181. The cubic root of 5409781200 is about 1755.4692781636.

The spelling of 5409781200 in words is "five billion, four hundred nine million, seven hundred eighty-one thousand, two hundred".