420145680 has 40 divisors (see below), whose sum is σ = 1302452352. Its totient is φ = 112038784.

The previous prime is 420145673. The next prime is 420145699. The reversal of 420145680 is 86541024.

It is a tau number, because it is divible by the number of its divisors (40).

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

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 7 ways as a sum of consecutive naturals, for example, 875064 + ... + 875543.

Almost surely, 2^420145680 is an apocalyptic number.

420145680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420145680 is an abundant number, since it is smaller than the sum of its proper divisors (882306672).

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

420145680 is a wasteful number, since it uses less digits than its factorization.

420145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750623 (or 1750617 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420145680 is about 20497.4554518360. The cubic root of 420145680 is about 748.9738143421.

The spelling of 420145680 in words is "four hundred twenty million, one hundred forty-five thousand, six hundred eighty".