4792148440 has 64 divisors (see below), whose sum is σ = 11316542400. Its totient is φ = 1822858752.

The previous prime is 4792148407. The next prime is 4792148443. The reversal of 4792148440 is 448412974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792148443) 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, 144106 + ... + 174214.

It is an arithmetic number, because the mean of its divisors is an integer number (176820975).

Almost surely, 2^4792148440 is an apocalyptic number.

4792148440 is a gapful number since it is divisible by the number (40) 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 4792148440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658271200).

4792148440 is an abundant number, since it is smaller than the sum of its proper divisors (6524393960).

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

4792148440 is a wasteful number, since it uses less digits than its factorization.

4792148440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30316 (or 30312 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 4792148440 is about 69225.3453584740. The cubic root of 4792148440 is about 1685.9450700157.

The spelling of 4792148440 in words is "four billion, seven hundred ninety-two million, one hundred forty-eight thousand, four hundred forty".