420204096 has 168 divisors, whose sum is σ = 1373803704. Its totient is φ = 121651200.

The previous prime is 420204091. The next prime is 420204107. The reversal of 420204096 is 690402024.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 405458496 = 3840^2 + 20136^2 .

It is not an unprimeable number, because it can be changed into a prime (420204091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125646 + ... + 128946.

It is an arithmetic number, because the mean of its divisors is an integer number (8177403).

Almost surely, 2^420204096 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 420204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686901852).

420204096 is an abundant number, since it is smaller than the sum of its proper divisors (953599608).

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

420204096 is a wasteful number, since it uses less digits than its factorization.

420204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420204096 is about 20498.8803596684. The cubic root of 420204096 is about 749.0085245461.

The spelling of 420204096 in words is "four hundred twenty million, two hundred four thousand, ninety-six".