1418482800 has 480 divisors, whose sum is σ = 5978188800. Its totient is φ = 312560640.

The previous prime is 1418482787. The next prime is 1418482811. The reversal of 1418482800 is 82848141.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 2192077 + ... + 2192723.

It is an arithmetic number, because the mean of its divisors is an integer number (12454560).

Almost surely, 2^1418482800 is an apocalyptic number.

1418482800 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 1418482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989094400).

1418482800 is an abundant number, since it is smaller than the sum of its proper divisors (4559706000).

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

1418482800 is a wasteful number, since it uses less digits than its factorization.

1418482800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1418482800 is about 37662.7508289026. The cubic root of 1418482800 is about 1123.5904123489.

The spelling of 1418482800 in words is "one billion, four hundred eighteen million, four hundred eighty-two thousand, eight hundred".