5392146240 has 448 divisors, whose sum is σ = 20847832320. Its totient is φ = 1303879680.

The previous prime is 5392146229. The next prime is 5392146247. The reversal of 5392146240 is 426412935.

It is a happy number.

5392146240 is a `hidden beast` number, since 5 + 3 + 9 + 21 + 4 + 624 + 0 = 666.

It is a super-3 number, since 3×5392146240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5392146195 and 5392146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5392146247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6851127 + ... + 6851913.

It is an arithmetic number, because the mean of its divisors is an integer number (46535340).

Almost surely, 2^5392146240 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 5392146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10423916160).

5392146240 is an abundant number, since it is smaller than the sum of its proper divisors (15455686080).

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

5392146240 is a wasteful number, since it uses less digits than its factorization.

5392146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5392146240 is about 73431.2347710428. The cubic root of 5392146240 is about 1753.5596919736.

The spelling of 5392146240 in words is "five billion, three hundred ninety-two million, one hundred forty-six thousand, two hundred forty".