420562560 has 128 divisors (see below), whose sum is σ = 1462484160. Its totient is φ = 101949440.

The previous prime is 420562559. The next prime is 420562603. The reversal of 420562560 is 65265024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11164 + ... + 31076.

Almost surely, 2^420562560 is an apocalyptic number.

420562560 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 420562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731242080).

420562560 is an abundant number, since it is smaller than the sum of its proper divisors (1041921600).

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

420562560 is a wasteful number, since it uses less digits than its factorization.

420562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946 (or 19934 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 420562560 is about 20507.6219976866. The cubic root of 420562560 is about 749.2214498704.

The spelling of 420562560 in words is "four hundred twenty million, five hundred sixty-two thousand, five hundred sixty".