5457362400 has 864 divisors, whose sum is σ = 23885971200. Its totient is φ = 1144627200.

The previous prime is 5457362387. The next prime is 5457362453. The reversal of 5457362400 is 42637545.

5457362400 is a `hidden beast` number, since 545 + 73 + 6 + 2 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 39261531 + ... + 39261669.

It is an arithmetic number, because the mean of its divisors is an integer number (27645800).

Almost surely, 2^5457362400 is an apocalyptic number.

5457362400 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 5457362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942985600).

5457362400 is an abundant number, since it is smaller than the sum of its proper divisors (18428608800).

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

5457362400 is a wasteful number, since it uses less digits than its factorization.

5457362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5457362400 is about 73873.9629368832. The cubic root of 5457362400 is about 1760.6009483653.

Adding to 5457362400 its reverse (42637545), we get a palindrome (5499999945).

The spelling of 5457362400 in words is "five billion, four hundred fifty-seven million, three hundred sixty-two thousand, four hundred".