419973540 has 96 divisors (see below), whose sum is σ = 1355961600. Its totient is φ = 95133696.

The previous prime is 419973527. The next prime is 419973551. The reversal of 419973540 is 45379914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 419973492 and 419973501.

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, 43036 + ... + 51884.

It is an arithmetic number, because the mean of its divisors is an integer number (14124600).

Almost surely, 2^419973540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419973540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677980800).

419973540 is an abundant number, since it is smaller than the sum of its proper divisors (935988060).

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

419973540 is a wasteful number, since it uses less digits than its factorization.

419973540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 419973540 is about 20493.2559638531. The cubic root of 419973540 is about 748.8715117596.

The spelling of 419973540 in words is "four hundred nineteen million, nine hundred seventy-three thousand, five hundred forty".