420145788 has 24 divisors (see below), whose sum is σ = 981993600. Its totient is φ = 139812400.

The previous prime is 420145783. The next prime is 420145793. The reversal of 420145788 is 887541024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420145783) and next prime (420145793).

It is a super-3 number, since 3×420145788³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420145783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22038 + ... + 36413.

It is an arithmetic number, because the mean of its divisors is an integer number (40916400).

Almost surely, 2^420145788 is an apocalyptic number.

It is an amenable number.

420145788 is an abundant number, since it is smaller than the sum of its proper divisors (561847812).

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

420145788 is a wasteful number, since it uses less digits than its factorization.

420145788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59057 (or 59055 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 420145788 is about 20497.4580863091. The cubic root of 420145788 is about 748.9738785176.

The spelling of 420145788 in words is "four hundred twenty million, one hundred forty-five thousand, seven hundred eighty-eight".