948326400 has 624 divisors, whose sum is σ = 4062736000. Its totient is φ = 216760320.

The previous prime is 948326383. The next prime is 948326479. The reversal of 948326400 is 4623849.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

948326400 is a `hidden beast` number, since 9 + 4 + 8 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 135475197 + ... + 135475203.

Almost surely, 2^948326400 is an apocalyptic number.

948326400 is a gapful number since it is divisible by the number (90) 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 948326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031368000).

948326400 is an abundant number, since it is smaller than the sum of its proper divisors (3114409600).

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

948326400 is an equidigital number, since it uses as much as digits as its factorization.

948326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 948326400 is about 30794.9086701032. The cubic root of 948326400 is about 982.4699600395.

The spelling of 948326400 in words is "nine hundred forty-eight million, three hundred twenty-six thousand, four hundred".