4610380992 has 280 divisors, whose sum is σ = 14530736496. Its totient is φ = 1289723904.

The previous prime is 4610380979. The next prime is 4610380993. The reversal of 4610380992 is 2990830164.

It is a super-2 number, since 2×4610380992² = 42511225782789808128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4610380993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33652348 + ... + 33652484.

Almost surely, 2^4610380992 is an apocalyptic number.

4610380992 is a gapful number since it is divisible by the number (42) 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 4610380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265368248).

4610380992 is an abundant number, since it is smaller than the sum of its proper divisors (9920355504).

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

4610380992 is an equidigital number, since it uses as much as digits as its factorization.

4610380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4610380992 is about 67899.7863914166. The cubic root of 4610380992 is about 1664.3536215295.

The spelling of 4610380992 in words is "four billion, six hundred ten million, three hundred eighty thousand, nine hundred ninety-two".