4462106401 has 9 divisors (see below), whose sum is σ = 4534246899. Its totient is φ = 4391099064.

The previous prime is 4462106377. The next prime is 4462106483. The reversal of 4462106401 is 1046012644.

The square root of 4462106401 is 66799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3840900625 + 621205776 = 61975^2 + 24924^2 .

It is not a de Polignac number, because 4462106401 - 2⁷ = 4462106273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4462106401.

It is not an unprimeable number, because it can be changed into a prime (4462106491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4475035 + ... + 4476031.

It is an arithmetic number, because the mean of its divisors is an integer number (503805211).

Almost surely, 2^4462106401 is an apocalyptic number.

4462106401 is the 66799-th square number.

4462106401 is the 33400-th centered octagonal number.

It is an amenable number.

4462106401 is a deficient number, since it is larger than the sum of its proper divisors (72140498).

4462106401 is an frugal number, since it uses more digits than its factorization.

4462106401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 4462106401 is about 1646.3164108083.

The spelling of 4462106401 in words is "four billion, four hundred sixty-two million, one hundred six thousand, four hundred one".