420747080 has 64 divisors (see below), whose sum is σ = 1054695600. Its totient is φ = 149990400.

The previous prime is 420747053. The next prime is 420747101. The reversal of 420747080 is 80747024.

It can be written as a sum of positive squares in 8 ways, for example, as 202948516 + 217798564 = 14246^2 + 14758^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130 + ... + 29030.

Almost surely, 2^420747080 is an apocalyptic number.

420747080 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 420747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527347800).

420747080 is an abundant number, since it is smaller than the sum of its proper divisors (633948520).

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

420747080 is a wasteful number, since it uses less digits than its factorization.

420747080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27954 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 420747080 is about 20512.1203194599. The cubic root of 420747080 is about 749.3310064038.

The spelling of 420747080 in words is "four hundred twenty million, seven hundred forty-seven thousand, eighty".