845646400 has 63 divisors (see below), whose sum is σ = 2083684809. Its totient is φ = 337793280.

The previous prime is 845646397. The next prime is 845646401. The reversal of 845646400 is 4646548.

The square root of 845646400 is 29080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 304432704 + 541213696 = 17448^2 + 23264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 845646400.

It is not an unprimeable number, because it can be changed into a prime (845646401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1162837 + ... + 1163563.

Almost surely, 2^845646400 is an apocalyptic number.

845646400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

845646400 is the 29080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845646400

845646400 is an abundant number, since it is smaller than the sum of its proper divisors (1238038409).

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

845646400 is an frugal number, since it uses more digits than its factorization.

845646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The cubic root of 845646400 is about 945.6482026651.

The spelling of 845646400 in words is "eight hundred forty-five million, six hundred forty-six thousand, four hundred".