419988140 has 48 divisors (see below), whose sum is σ = 1036173600. Its totient is φ = 140974080.

The previous prime is 419988091. The next prime is 419988157. The reversal of 419988140 is 41889914.

It is a super-3 number, since 3×419988140³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 419988091 and 419988100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70565 + ... + 76284.

It is an arithmetic number, because the mean of its divisors is an integer number (21586950).

Almost surely, 2^419988140 is an apocalyptic number.

It is an amenable number.

419988140 is an abundant number, since it is smaller than the sum of its proper divisors (616185460).

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

419988140 is a wasteful number, since it uses less digits than its factorization.

419988140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146882 (or 146880 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 419988140 is about 20493.6121755048. The cubic root of 419988140 is about 748.8801896058.

The spelling of 419988140 in words is "four hundred nineteen million, nine hundred eighty-eight thousand, one hundred forty".