420245280 has 384 divisors, whose sum is σ = 1811980800. Its totient is φ = 88584192.

The previous prime is 420245251. The next prime is 420245291. The reversal of 420245280 is 82542024.

It is a happy number.

420245280 is a `hidden beast` number, since 4 + 202 + 452 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392586 + ... + 393654.

It is an arithmetic number, because the mean of its divisors is an integer number (4718700).

Almost surely, 2^420245280 is an apocalyptic number.

420245280 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 420245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905990400).

420245280 is an abundant number, since it is smaller than the sum of its proper divisors (1391735520).

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

420245280 is a wasteful number, since it uses less digits than its factorization.

420245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

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

The square root of 420245280 is about 20499.8848777255. The cubic root of 420245280 is about 749.0329937344.

The spelling of 420245280 in words is "four hundred twenty million, two hundred forty-five thousand, two hundred eighty".