420920280 has 192 divisors, whose sum is σ = 1542693600. Its totient is φ = 102009600.

The previous prime is 420920257. The next prime is 420920287. The reversal of 420920280 is 82029024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420920287) 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, 129070 + ... + 132290.

Almost surely, 2^420920280 is an apocalyptic number.

420920280 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 420920280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771346800).

420920280 is an abundant number, since it is smaller than the sum of its proper divisors (1121773320).

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

420920280 is a wasteful number, since it uses less digits than its factorization.

420920280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420920280 is about 20516.3417791769. The cubic root of 420920280 is about 749.4338126835.

The spelling of 420920280 in words is "four hundred twenty million, nine hundred twenty thousand, two hundred eighty".