819000400 has 30 divisors (see below), whose sum is σ = 1967649422. Its totient is φ = 327600000.

The previous prime is 819000389. The next prime is 819000401. The reversal of 819000400 is 4000918.

It can be written as a sum of positive squares in 3 ways, for example, as 267126336 + 551874064 = 16344^2 + 23492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819000401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1023351 + ... + 1024150.

Almost surely, 2^819000400 is an apocalyptic number.

819000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819000400 is an abundant number, since it is smaller than the sum of its proper divisors (1148649022).

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

819000400 is a wasteful number, since it uses less digits than its factorization.

819000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047519 (or 2047508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 819000400 is about 28618.1830310731. The cubic root of 819000400 is about 935.6096760526.

The spelling of 819000400 in words is "eight hundred nineteen million, four hundred", and thus it is an aban number.