410948948809 has 27 divisors (see below), whose sum is σ = 507911222343. Its totient is φ = 331460299968.

The previous prime is 410948948759. The next prime is 410948948821. The reversal of 410948948809 is 908849849014.

The square root of 410948948809 is 641053.

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., 319942953225 + 91005995584 = 565635^2 + 301672^2 .

It is not a de Polignac number, because 410948948809 - 2⁷ = 410948948681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (410948948849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76282614 + ... + 76288000.

Almost surely, 2^410948948809 is an apocalyptic number.

410948948809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

410948948809 is the 641053-rd square number.

410948948809 is the 320527-th centered octagonal number.

It is an amenable number.

410948948809 is a deficient number, since it is larger than the sum of its proper divisors (96962273534).

410948948809 is an frugal number, since it uses more digits than its factorization.

410948948809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 410948948809 by its sum of digits (64), we get a square (26300732723776 = 5128424²).

The spelling of 410948948809 in words is "four hundred ten billion, nine hundred forty-eight million, nine hundred forty-eight thousand, eight hundred nine".