5460787200 has 408 divisors, whose sum is σ = 19893432096. Its totient is φ = 1310720000.

The previous prime is 5460787183. The next prime is 5460787201. The reversal of 5460787200 is 27870645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460787201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54067150 + ... + 54067250.

It is an arithmetic number, because the mean of its divisors is an integer number (48758412).

Almost surely, 2^5460787200 is an apocalyptic number.

5460787200 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 5460787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946716048).

5460787200 is an abundant number, since it is smaller than the sum of its proper divisors (14432644896).

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

5460787200 is a wasteful number, since it uses less digits than its factorization.

5460787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 5460787200 is about 73897.1393221686. The cubic root of 5460787200 is about 1760.9691631915.

The spelling of 5460787200 in words is "five billion, four hundred sixty million, seven hundred eighty-seven thousand, two hundred".