4946709504 has 352 divisors, whose sum is σ = 15563750400. Its totient is φ = 1380188160.

The previous prime is 4946709503. The next prime is 4946709511. The reversal of 4946709504 is 4059076494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4946709503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45382602 + ... + 45382710.

It is an arithmetic number, because the mean of its divisors is an integer number (44215200).

Almost surely, 2^4946709504 is an apocalyptic number.

4946709504 is a gapful number since it is divisible by the number (44) 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 4946709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781875200).

4946709504 is an abundant number, since it is smaller than the sum of its proper divisors (10617040896).

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

4946709504 is a wasteful number, since it uses less digits than its factorization.

4946709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4946709504 is about 70332.8479730488. The cubic root of 4946709504 is about 1703.8792041153.

The spelling of 4946709504 in words is "four billion, nine hundred forty-six million, seven hundred nine thousand, five hundred four".