4956957000 has 192 divisors, whose sum is σ = 17375904000. Its totient is φ = 1321790400.

The previous prime is 4956956999. The next prime is 4956957001. The reversal of 4956957000 is 7596594.

It is a happy number.

4956957000 is a `hidden beast` number, since 495 + 6 + 95 + 70 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4956956999) and next prime (4956957001).

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

It is not an unprimeable number, because it can be changed into a prime (4956957001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232801 + ... + 253199.

It is an arithmetic number, because the mean of its divisors is an integer number (90499500).

Almost surely, 2^4956957000 is an apocalyptic number.

4956957000 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 4956957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687952000).

4956957000 is an abundant number, since it is smaller than the sum of its proper divisors (12418947000).

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

4956957000 is a wasteful number, since it uses less digits than its factorization.

4956957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20435 (or 20409 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 4956957000 is about 70405.6602838152. The cubic root of 4956957000 is about 1705.0549656489.

The spelling of 4956957000 in words is "four billion, nine hundred fifty-six million, nine hundred fifty-seven thousand".