4826952000 has 672 divisors, whose sum is σ = 19384694784. Its totient is φ = 1181952000.

The previous prime is 4826951989. The next prime is 4826952041. The reversal of 4826952000 is 2596284.

It is a happy number.

It is a super-2 number, since 2×4826952000² = 46598931220608000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25271905 + ... + 25272095.

It is an arithmetic number, because the mean of its divisors is an integer number (28846272).

Almost surely, 2^4826952000 is an apocalyptic number.

4826952000 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 4826952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692347392).

4826952000 is an abundant number, since it is smaller than the sum of its proper divisors (14557742784).

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

4826952000 is a wasteful number, since it uses less digits than its factorization.

4826952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4826952000 is about 69476.2693298942. The cubic root of 4826952000 is about 1690.0166892602.

The spelling of 4826952000 in words is "four billion, eight hundred twenty-six million, nine hundred fifty-two thousand".