1405000800 has 432 divisors, whose sum is σ = 5767568352. Its totient is φ = 315187200.

The previous prime is 1405000783. The next prime is 1405000801. The reversal of 1405000800 is 80005041.

1405000800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405000801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3074172 + ... + 3074628.

Almost surely, 2^1405000800 is an apocalyptic number.

1405000800 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 1405000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883784176).

1405000800 is an abundant number, since it is smaller than the sum of its proper divisors (4362567552).

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

1405000800 is a wasteful number, since it uses less digits than its factorization.

1405000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1405000800 is about 37483.3402993917. The cubic root of 1405000800 is about 1120.0193449040.

Adding to 1405000800 its reverse (80005041), we get a palindrome (1485005841).

The spelling of 1405000800 in words is "one billion, four hundred five million, eight hundred", and thus it is an aban number.