4929407960 has 64 divisors (see below), whose sum is σ = 11532913920. Its totient is φ = 1894164480.

The previous prime is 4929407957. The next prime is 4929407963. The reversal of 4929407960 is 697049294.

It is an interprime number because it is at equal distance from previous prime (4929407957) and next prime (4929407963).

It is a super-2 number, since 2×4929407960² = 48598125672222723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4929407899 and 4929407908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929407963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155372 + ... + 184388.

It is an arithmetic number, because the mean of its divisors is an integer number (180201780).

Almost surely, 2^4929407960 is an apocalyptic number.

4929407960 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 4929407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766456960).

4929407960 is an abundant number, since it is smaller than the sum of its proper divisors (6603505960).

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

4929407960 is a wasteful number, since it uses less digits than its factorization.

4929407960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29196 (or 29192 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 4929407960 is about 70209.7426287834. The cubic root of 4929407960 is about 1701.8903953762.

The spelling of 4929407960 in words is "four billion, nine hundred twenty-nine million, four hundred seven thousand, nine hundred sixty".