948146472 has 240 divisors, whose sum is σ = 3328354260. Its totient is φ = 249951744.

The previous prime is 948146471. The next prime is 948146473. The reversal of 948146472 is 274641849.

It is an interprime number because it is at equal distance from previous prime (948146471) and next prime (948146473).

It can be written as a sum of positive squares in 2 ways, for example, as 906852996 + 41293476 = 30114^2 + 6426^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (948146471) by changing a digit.

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, 411628 + ... + 413924.

Almost surely, 2^948146472 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 948146472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664177130).

948146472 is an abundant number, since it is smaller than the sum of its proper divisors (2380207788).

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

948146472 is a wasteful number, since it uses less digits than its factorization.

948146472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2322 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 948146472 is about 30791.9871395141. The cubic root of 948146472 is about 982.4078207325.

The spelling of 948146472 in words is "nine hundred forty-eight million, one hundred forty-six thousand, four hundred seventy-two".