5706452400 has 480 divisors, whose sum is σ = 21392321280. Its totient is φ = 1285632000.

The previous prime is 5706452371. The next prime is 5706452431. The reversal of 5706452400 is 42546075.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 15298614 + ... + 15298986.

It is an arithmetic number, because the mean of its divisors is an integer number (44567336).

Almost surely, 2^5706452400 is an apocalyptic number.

5706452400 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 5706452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696160640).

5706452400 is an abundant number, since it is smaller than the sum of its proper divisors (15685868880).

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

5706452400 is a wasteful number, since it uses less digits than its factorization.

5706452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5706452400 is about 75541.0643292772. The cubic root of 5706452400 is about 1786.9897700974.

Adding to 5706452400 its reverse (42546075), we get a palindrome (5748998475).

The spelling of 5706452400 in words is "five billion, seven hundred six million, four hundred fifty-two thousand, four hundred".