4746097950 has 288 divisors, whose sum is σ = 13679124480. Its totient is φ = 1086624000.

The previous prime is 4746097903. The next prime is 4746097973. The reversal of 4746097950 is 597906474.

It is a super-4 number, since 4×4746097950⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4746097893 and 4746097902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37370787 + ... + 37370913.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 2^4746097950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4746097950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839562240).

4746097950 is an abundant number, since it is smaller than the sum of its proper divisors (8933026530).

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

4746097950 is a wasteful number, since it uses less digits than its factorization.

4746097950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 4746097950 is about 68891.9294983092. The cubic root of 4746097950 is about 1680.5272756796.

The spelling of 4746097950 in words is "four billion, seven hundred forty-six million, ninety-seven thousand, nine hundred fifty".