845240400 has 240 divisors, whose sum is σ = 3060131520. Its totient is φ = 221529600.

The previous prime is 845240399. The next prime is 845240411. The reversal of 845240400 is 4042548.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658159 + ... + 659441.

It is an arithmetic number, because the mean of its divisors is an integer number (12750548).

Almost surely, 2^845240400 is an apocalyptic number.

845240400 is a gapful number since it is divisible by the number (80) 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 845240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530065760).

845240400 is an abundant number, since it is smaller than the sum of its proper divisors (2214891120).

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

845240400 is a wasteful number, since it uses less digits than its factorization.

845240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 845240400 is about 29073.0184191460. The cubic root of 845240400 is about 945.4968412807.

Adding to 845240400 its reverse (4042548), we get a palindrome (849282948).

The spelling of 845240400 in words is "eight hundred forty-five million, two hundred forty thousand, four hundred".