8845970400 has 216 divisors, whose sum is σ = 33028448544. Its totient is φ = 2220134400.

The previous prime is 8845970381. The next prime is 8845970401. The reversal of 8845970400 is 40795488.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8845970401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86265 + ... + 158535.

It is an arithmetic number, because the mean of its divisors is an integer number (152909484).

Almost surely, 2^8845970400 is an apocalyptic number.

8845970400 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 8845970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514224272).

8845970400 is an abundant number, since it is smaller than the sum of its proper divisors (24182478144).

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

8845970400 is a wasteful number, since it uses less digits than its factorization.

8845970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72314 (or 72298 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8845970400 is about 94053.0190902982. The cubic root of 8845970400 is about 2068.1490139758.

The spelling of 8845970400 in words is "eight billion, eight hundred forty-five million, nine hundred seventy thousand, four hundred".