419935140 has 72 divisors (see below), whose sum is σ = 1283176440. Its totient is φ = 111158784.

The previous prime is 419935133. The next prime is 419935147. The reversal of 419935140 is 41539914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (419935133) and next prime (419935147).

It can be written as a sum of positive squares in 4 ways, for example, as 106007616 + 313927524 = 10296^2 + 17718^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 419935095 and 419935104.

It is not an unprimeable number, because it can be changed into a prime (419935147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16146 + ... + 33174.

It is an arithmetic number, because the mean of its divisors is an integer number (17821895).

Almost surely, 2^419935140 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 419935140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641588220).

419935140 is an abundant number, since it is smaller than the sum of its proper divisors (863241300).

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

419935140 is a wasteful number, since it uses less digits than its factorization.

419935140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17181 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 419935140 is about 20492.3190488534. The cubic root of 419935140 is about 748.8486868751.

The spelling of 419935140 in words is "four hundred nineteen million, nine hundred thirty-five thousand, one hundred forty".