416200801 has 9 divisors (see below), whose sum is σ = 435574321. Its totient is φ = 397656292.

The previous prime is 416200787. The next prime is 416200849. The reversal of 416200801 is 108002614.

The square root of 416200801 is 20401.

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

It is not a de Polignac number, because 416200801 - 2⁵ = 416200769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416200501) 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, 468780 + ... + 469666.

Almost surely, 2^416200801 is an apocalyptic number.

416200801 is the 20401-st square number.

416200801 is the 10201-st centered octagonal number.

It is an amenable number.

416200801 is a deficient number, since it is larger than the sum of its proper divisors (19373520).

416200801 is an frugal number, since it uses more digits than its factorization.

416200801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 416200801 is about 746.6223229361.

The spelling of 416200801 in words is "four hundred sixteen million, two hundred thousand, eight hundred one".