4696460160 has 256 divisors, whose sum is σ = 17853557760. Its totient is φ = 1026736128.

The previous prime is 4696460159. The next prime is 4696460161. The reversal of 4696460160 is 610646964.

It is an interprime number because it is at equal distance from previous prime (4696460159) and next prime (4696460161).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4696460161) 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, 301524 + ... + 316716.

It is an arithmetic number, because the mean of its divisors is an integer number (69740460).

Almost surely, 2^4696460160 is an apocalyptic number.

4696460160 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 4696460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926778880).

4696460160 is an abundant number, since it is smaller than the sum of its proper divisors (13157097600).

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

4696460160 is a wasteful number, since it uses less digits than its factorization.

4696460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245 (or 15233 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4696460160 is about 68530.7242045493. The cubic root of 4696460160 is about 1674.6480478319.

The spelling of 4696460160 in words is "four billion, six hundred ninety-six million, four hundred sixty thousand, one hundred sixty".