420619080 has 128 divisors (see below), whose sum is σ = 1447891200. Its totient is φ = 95757312.

The previous prime is 420619061. The next prime is 420619091. The reversal of 420619080 is 80916024.

420619080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 20509²-1.

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 31 ways as a sum of consecutive naturals, for example, 245266 + ... + 246974.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2^420619080 is an apocalyptic number.

420619080 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 420619080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

420619080 is an abundant number, since it is smaller than the sum of its proper divisors (1027272120).

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

420619080 is a wasteful number, since it uses less digits than its factorization.

420619080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 420619080 is about 20508.9999756205. Note that the first 4 decimals coincide. The cubic root of 420619080 is about 749.2550113453.

The spelling of 420619080 in words is "four hundred twenty million, six hundred nineteen thousand, eighty".