4974566400 has 330 divisors, whose sum is σ = 18427912800. Its totient is φ = 1325998080.

The previous prime is 4974566393. The next prime is 4974566411. The reversal of 4974566400 is 46654794.

4974566400 is a `hidden beast` number, since 49 + 7 + 4 + 566 + 40 + 0 = 666.

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 29 ways as a sum of consecutive naturals, for example, 2072401 + ... + 2074799.

It is an arithmetic number, because the mean of its divisors is an integer number (55842160).

Almost surely, 2^4974566400 is an apocalyptic number.

4974566400 is a gapful number since it is divisible by the number (40) 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 4974566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213956400).

4974566400 is an abundant number, since it is smaller than the sum of its proper divisors (13453346400).

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

4974566400 is a wasteful number, since it uses less digits than its factorization.

4974566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4974566400 is about 70530.6061224487. The cubic root of 4974566400 is about 1707.0716269931.

The spelling of 4974566400 in words is "four billion, nine hundred seventy-four million, five hundred sixty-six thousand, four hundred".