948753408 has 176 divisors, whose sum is σ = 2755491264. Its totient is φ = 289013760.

The previous prime is 948753397. The next prime is 948753409. The reversal of 948753408 is 804357849.

It is a super-2 number, since 2×948753408² = 1800266058383228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948753409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932043 + ... + 1932533.

Almost surely, 2^948753408 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 948753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377745632).

948753408 is an abundant number, since it is smaller than the sum of its proper divisors (1806737856).

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

948753408 is a wasteful number, since it uses less digits than its factorization.

948753408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 948753408 is about 30801.8409839412. The cubic root of 948753408 is about 982.6173985802.

The spelling of 948753408 in words is "nine hundred forty-eight million, seven hundred fifty-three thousand, four hundred eight".