420425280 has 336 divisors, whose sum is σ = 1648992384. Its totient is φ = 97320960.

The previous prime is 420425221. The next prime is 420425287. The reversal of 420425280 is 82524024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420425287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728352 + ... + 728928.

Almost surely, 2^420425280 is an apocalyptic number.

420425280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824496192).

420425280 is an abundant number, since it is smaller than the sum of its proper divisors (1228567104).

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

420425280 is a wasteful number, since it uses less digits than its factorization.

420425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 420425280 is about 20504.2746762718. The cubic root of 420425280 is about 749.1399207286.

The spelling of 420425280 in words is "four hundred twenty million, four hundred twenty-five thousand, two hundred eighty".