846350400 has 168 divisors, whose sum is σ = 3173536960. Its totient is φ = 193443840.

The previous prime is 846350377. The next prime is 846350411. The reversal of 846350400 is 4053648.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21006 + ... + 46194.

Almost surely, 2^846350400 is an apocalyptic number.

846350400 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 846350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586768480).

846350400 is an abundant number, since it is smaller than the sum of its proper divisors (2327186560).

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

846350400 is a wasteful number, since it uses less digits than its factorization.

846350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25221 (or 25206 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 846350400 is about 29092.1020209953. The cubic root of 846350400 is about 945.9105470202.

The spelling of 846350400 in words is "eight hundred forty-six million, three hundred fifty thousand, four hundred".