948373920 has 360 divisors, whose sum is σ = 3632603436. Its totient is φ = 232906752.

The previous prime is 948373889. The next prime is 948373931. The reversal of 948373920 is 29373849.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9809424 + 938564496 = 3132^2 + 30636^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 2190024 + ... + 2190456.

Almost surely, 2^948373920 is an apocalyptic number.

948373920 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 948373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816301718).

948373920 is an abundant number, since it is smaller than the sum of its proper divisors (2684229516).

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

948373920 is a wasteful number, since it uses less digits than its factorization.

948373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 948373920 is about 30795.6802165499. The cubic root of 948373920 is about 982.4863700691.

The spelling of 948373920 in words is "nine hundred forty-eight million, three hundred seventy-three thousand, nine hundred twenty".