419745402 has 80 divisors (see below), whose sum is σ = 1002759912. Its totient is φ = 130775040.

The previous prime is 419745383. The next prime is 419745409. The reversal of 419745402 is 204547914.

It is a happy number.

419745402 is a `hidden beast` number, since 41 + 9 + 74 + 540 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406062801 + 13682601 = 20151^2 + 3699^2 .

It is not an unprimeable number, because it can be changed into a prime (419745409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476002 + ... + 476882.

Almost surely, 2^419745402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419745402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501379956).

419745402 is an abundant number, since it is smaller than the sum of its proper divisors (583014510).

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

419745402 is a wasteful number, since it uses less digits than its factorization.

419745402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 419745402 is about 20487.6890351255. The cubic root of 419745402 is about 748.7358865533.

The spelling of 419745402 in words is "four hundred nineteen million, seven hundred forty-five thousand, four hundred two".