1802016400 has 30 divisors (see below), whose sum is σ = 4329345362. Its totient is φ = 720806400.

The previous prime is 1802016383. The next prime is 1802016407. The reversal of 1802016400 is 46102081.

It can be written as a sum of positive squares in 3 ways, for example, as 584285584 + 1217730816 = 24172^2 + 34896^2 .

It is not an unprimeable number, because it can be changed into a prime (1802016407) 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, 2252121 + ... + 2252920.

Almost surely, 2^1802016400 is an apocalyptic number.

1802016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1802016400 is an abundant number, since it is smaller than the sum of its proper divisors (2527328962).

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

1802016400 is a wasteful number, since it uses less digits than its factorization.

1802016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505059 (or 4505048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1802016400 is about 42450.1637217102. The cubic root of 1802016400 is about 1216.8944574638.

Adding to 1802016400 its reverse (46102081), we get a palindrome (1848118481).

The spelling of 1802016400 in words is "one billion, eight hundred two million, sixteen thousand, four hundred".