4006620460 has 48 divisors (see below), whose sum is σ = 8630899200. Its totient is φ = 1561500864.

The previous prime is 4006620437. The next prime is 4006620461. The reversal of 4006620460 is 640266004.

4006620460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4006620460² = 32106015020981223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4006620461) 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, 354781 + ... + 365899.

It is an arithmetic number, because the mean of its divisors is an integer number (179810400).

Almost surely, 2^4006620460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006620460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315449600).

4006620460 is an abundant number, since it is smaller than the sum of its proper divisors (4624278740).

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

4006620460 is a wasteful number, since it uses less digits than its factorization.

4006620460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4006620460 is about 63297.8708962632. The cubic root of 4006620460 is about 1588.2763463388.

Adding to 4006620460 its reverse (640266004), we get a palindrome (4646886464).

The spelling of 4006620460 in words is "four billion, six million, six hundred twenty thousand, four hundred sixty".