4998974400 has 672 divisors, whose sum is σ = 21245941760. Its totient is φ = 1119744000.

The previous prime is 4998974377. The next prime is 4998974401. The reversal of 4998974400 is 44798994.

It is a happy number.

4998974400 is a `hidden beast` number, since 4 + 99 + 89 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4998974401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18446265 + ... + 18446535.

Almost surely, 2^4998974400 is an apocalyptic number.

4998974400 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 4998974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622970880).

4998974400 is an abundant number, since it is smaller than the sum of its proper divisors (16246967360).

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

4998974400 is a wasteful number, since it uses less digits than its factorization.

4998974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4998974400 is about 70703.4256595817. The cubic root of 4998974400 is about 1709.8590219264.

The spelling of 4998974400 in words is "four billion, nine hundred ninety-eight million, nine hundred seventy-four thousand, four hundred".