4956000 has 192 divisors, whose sum is σ = 18869760. Its totient is φ = 1113600.

The previous prime is 4955999. The next prime is 4956011. The reversal of 4956000 is 6594.

4956000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83971 + ... + 84029.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^4956000 is an apocalyptic number.

4956000 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 4956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

4956000 is an abundant number, since it is smaller than the sum of its proper divisors (13913760).

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

4956000 is a wasteful number, since it uses less digits than its factorization.

4956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4956000 is about 2226.2075374951. The cubic root of 4956000 is about 170.4945231483.

It can be divided in two parts, 49 and 56000, that multiplied together give a cube (2744000 = 140³).

The spelling of 4956000 in words is "four million, nine hundred fifty-six thousand".