846280400 has 240 divisors, whose sum is σ = 2570621184. Its totient is φ = 260874240.

The previous prime is 846280399. The next prime is 846280427. The reversal of 846280400 is 4082648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094414 + ... + 1095186.

Almost surely, 2^846280400 is an apocalyptic number.

846280400 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 846280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285310592).

846280400 is an abundant number, since it is smaller than the sum of its proper divisors (1724340784).

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

846280400 is a wasteful number, since it uses less digits than its factorization.

846280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 846280400 is about 29090.8989204528. The cubic root of 846280400 is about 945.8844681590.

The spelling of 846280400 in words is "eight hundred forty-six million, two hundred eighty thousand, four hundred".