1818374400 has 432 divisors, whose sum is σ = 7071422400. Its totient is φ = 455639040.

The previous prime is 1818374377. The next prime is 1818374401. The reversal of 1818374400 is 44738181.

1818374400 is a `hidden beast` number, since 1 + 8 + 183 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1818374401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937291 + ... + 2937909.

Almost surely, 2^1818374400 is an apocalyptic number.

1818374400 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 1818374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535711200).

1818374400 is an abundant number, since it is smaller than the sum of its proper divisors (5253048000).

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

1818374400 is a wasteful number, since it uses less digits than its factorization.

1818374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1818374400 is about 42642.4014333152. The cubic root of 1818374400 is about 1220.5655355280.

The spelling of 1818374400 in words is "one billion, eight hundred eighteen million, three hundred seventy-four thousand, four hundred".