948419052 has 192 divisors, whose sum is σ = 2788079616. Its totient is φ = 244776960.

The previous prime is 948419027. The next prime is 948419077. The reversal of 948419052 is 250914849.

It is an interprime number because it is at equal distance from previous prime (948419027) and next prime (948419077).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 948418995 and 948419013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5679073 + ... + 5679239.

It is an arithmetic number, because the mean of its divisors is an integer number (14521248).

Almost surely, 2^948419052 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 948419052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394039808).

948419052 is an abundant number, since it is smaller than the sum of its proper divisors (1839660564).

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

948419052 is a wasteful number, since it uses less digits than its factorization.

948419052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 948419052 is about 30796.4129729422. The cubic root of 948419052 is about 982.5019549456.

The spelling of 948419052 in words is "nine hundred forty-eight million, four hundred nineteen thousand, fifty-two".