4299948000 has 288 divisors, whose sum is σ = 15756878592. Its totient is φ = 1109376000.

The previous prime is 4299947963. The next prime is 4299948019. The reversal of 4299948000 is 8499924.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114074 + ... + 1117926.

It is an arithmetic number, because the mean of its divisors is an integer number (54711384).

Almost surely, 2^4299948000 is an apocalyptic number.

4299948000 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 4299948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878439296).

4299948000 is an abundant number, since it is smaller than the sum of its proper divisors (11456930592).

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

4299948000 is a wasteful number, since it uses less digits than its factorization.

4299948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4299948000 is about 65573.9887455384. The cubic root of 4299948000 is about 1626.1267766967.

The spelling of 4299948000 in words is "four billion, two hundred ninety-nine million, nine hundred forty-eight thousand".