1808195400 has 480 divisors, whose sum is σ = 6994864800. Its totient is φ = 429235200.

The previous prime is 1808195399. The next prime is 1808195453. The reversal of 1808195400 is 45918081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13008531 + ... + 13008669.

It is an arithmetic number, because the mean of its divisors is an integer number (14572635).

Almost surely, 2^1808195400 is an apocalyptic number.

1808195400 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 1808195400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497432400).

1808195400 is an abundant number, since it is smaller than the sum of its proper divisors (5186669400).

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

1808195400 is a wasteful number, since it uses less digits than its factorization.

1808195400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1808195400 is about 42522.8808995816. The cubic root of 1808195400 is about 1218.2837553842.

The spelling of 1808195400 in words is "one billion, eight hundred eight million, one hundred ninety-five thousand, four hundred".