946808400 has 240 divisors, whose sum is σ = 3166225920. Its totient is φ = 241651200.

The previous prime is 946808393. The next prime is 946808419. The reversal of 946808400 is 4808649.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×946808400² = 1792892292621120000, which contains 22 as substring.

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, 3044245 + ... + 3044555.

It is an arithmetic number, because the mean of its divisors is an integer number (13192608).

Almost surely, 2^946808400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583112960).

946808400 is an abundant number, since it is smaller than the sum of its proper divisors (2219417520).

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

946808400 is a wasteful number, since it uses less digits than its factorization.

946808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 946808400 is about 30770.2518676725. The cubic root of 946808400 is about 981.9454620500.

The spelling of 946808400 in words is "nine hundred forty-six million, eight hundred eight thousand, four hundred".