8420306400 has 360 divisors, whose sum is σ = 33501621384. Its totient is φ = 2041113600.

The previous prime is 8420306381. The next prime is 8420306429. The reversal of 8420306400 is 46030248.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 706894 + ... + 718706.

Almost surely, 2^8420306400 is an apocalyptic number.

8420306400 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 8420306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750810692).

8420306400 is an abundant number, since it is smaller than the sum of its proper divisors (25081314984).

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

8420306400 is a wasteful number, since it uses less digits than its factorization.

8420306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11856 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8420306400 is about 91762.2275230936. The cubic root of 8420306400 is about 2034.4294391769.

Adding to 8420306400 its reverse (46030248), we get a palindrome (8466336648).

The spelling of 8420306400 in words is "eight billion, four hundred twenty million, three hundred six thousand, four hundred".