420377364 has 72 divisors (see below), whose sum is σ = 1202187168. Its totient is φ = 127383840.

The previous prime is 420377333. The next prime is 420377381. The reversal of 420377364 is 463773024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8967 + ... + 30350.

It is an arithmetic number, because the mean of its divisors is an integer number (16697044).

Almost surely, 2^420377364 is an apocalyptic number.

420377364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420377364 is an abundant number, since it is smaller than the sum of its proper divisors (781809804).

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

420377364 is a wasteful number, since it uses less digits than its factorization.

420377364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39347 (or 39333 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 420377364 is about 20503.1062036951. The cubic root of 420377364 is about 749.1114597440. Note that the first 3 decimals are identical.

The spelling of 420377364 in words is "four hundred twenty million, three hundred seventy-seven thousand, three hundred sixty-four".