420290560 has 112 divisors (see below), whose sum is σ = 1044317952. Its totient is φ = 162201600.

The previous prime is 420290551. The next prime is 420290567. The reversal of 420290560 is 65092024.

It is a super-2 number, since 2×420290560² = 353288309650227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420290567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269595 + ... + 1269925.

Almost surely, 2^420290560 is an apocalyptic number.

420290560 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 420290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522158976).

420290560 is an abundant number, since it is smaller than the sum of its proper divisors (624027392).

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

420290560 is an equidigital number, since it uses as much as digits as its factorization.

420290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 420290560 is about 20500.9892444243. The cubic root of 420290560 is about 749.0598946876.

The spelling of 420290560 in words is "four hundred twenty million, two hundred ninety thousand, five hundred sixty".