819974400 has 216 divisors, whose sum is σ = 3093177024. Its totient is φ = 187392000.

The previous prime is 819974381. The next prime is 819974411. The reversal of 819974400 is 4479918.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 131350 + ... + 137450.

It is an arithmetic number, because the mean of its divisors is an integer number (14320264).

Almost surely, 2^819974400 is an apocalyptic number.

819974400 is a gapful number since it is divisible by the number (80) 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 819974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546588512).

819974400 is an abundant number, since it is smaller than the sum of its proper divisors (2273202624).

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

819974400 is a wasteful number, since it uses less digits than its factorization.

819974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 819974400 is about 28635.1951276746. The cubic root of 819974400 is about 935.9804218273.

The spelling of 819974400 in words is "eight hundred nineteen million, nine hundred seventy-four thousand, four hundred".