420478324249 has 9 divisors (see below), whose sum is σ = 426530667999. Its totient is φ = 414510703320.

The previous prime is 420478324219. The next prime is 420478324271. The reversal of 420478324249 is 942423874024.

The square root of 420478324249 is 648443.

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., 336069481225 + 84408843024 = 579715^2 + 290532^2 .

It is not a de Polignac number, because 420478324249 - 2²⁵ = 420444769817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420478324219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46034887 + ... + 46044019.

Almost surely, 2^420478324249 is an apocalyptic number.

420478324249 is the 648443-rd square number.

420478324249 is the 324222-nd centered octagonal number.

It is an amenable number.

420478324249 is a deficient number, since it is larger than the sum of its proper divisors (6052343750).

420478324249 is an frugal number, since it uses more digits than its factorization.

420478324249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18408 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

Multiplying 420478324249 by its sum of digits (49), we get a square (20603437888201 = 4539101²).

The spelling of 420478324249 in words is "four hundred twenty billion, four hundred seventy-eight million, three hundred twenty-four thousand, two hundred forty-nine".