5746982400 has 600 divisors, whose sum is σ = 22286881584. Its totient is φ = 1459814400.

The previous prime is 5746982389. The next prime is 5746982411. The reversal of 5746982400 is 42896475.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5746982389) and next prime (5746982411).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23846280 + ... + 23846520.

Almost surely, 2^5746982400 is an apocalyptic number.

5746982400 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 5746982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143440792).

5746982400 is an abundant number, since it is smaller than the sum of its proper divisors (16539899184).

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

5746982400 is a wasteful number, since it uses less digits than its factorization.

5746982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5746982400 is about 75808.8543641177. The cubic root of 5746982400 is about 1791.2104834146.

The spelling of 5746982400 in words is "five billion, seven hundred forty-six million, nine hundred eighty-two thousand, four hundred".