1992845400 has 768 divisors, whose sum is σ = 8549452800. Its totient is φ = 371589120.

The previous prime is 1992845357. The next prime is 1992845401. The reversal of 1992845400 is 45482991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992845401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17635744 + ... + 17635856.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^1992845400 is an apocalyptic number.

1992845400 is a gapful number since it is divisible by the number (10) 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 1992845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

1992845400 is an abundant number, since it is smaller than the sum of its proper divisors (6556607400).

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

1992845400 is a wasteful number, since it uses less digits than its factorization.

1992845400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1992845400 is about 44641.2970241681. The cubic root of 1992845400 is about 1258.4168829905.

The spelling of 1992845400 in words is "one billion, nine hundred ninety-two million, eight hundred forty-five thousand, four hundred".