948374400 has 192 divisors, whose sum is σ = 3144798720. Its totient is φ = 251197440.

The previous prime is 948374333. The next prime is 948374411. The reversal of 948374400 is 4473849.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2140579 + ... + 2141021.

It is an arithmetic number, because the mean of its divisors is an integer number (16379160).

Almost surely, 2^948374400 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 948374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572399360).

948374400 is an abundant number, since it is smaller than the sum of its proper divisors (2196424320).

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

948374400 is a wasteful number, since it uses less digits than its factorization.

948374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 948374400 is about 30795.6880098497. The cubic root of 948374400 is about 982.4865358241.

The spelling of 948374400 in words is "nine hundred forty-eight million, three hundred seventy-four thousand, four hundred".