420186450 has 96 divisors (see below), whose sum is σ = 1130552640. Its totient is φ = 102860800.

The previous prime is 420186427. The next prime is 420186451. The reversal of 420186450 is 54681024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420186451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102541 + ... + 106559.

It is an arithmetic number, because the mean of its divisors is an integer number (11776590).

Almost surely, 2^420186450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420186450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565276320).

420186450 is an abundant number, since it is smaller than the sum of its proper divisors (710366190).

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

420186450 is a wasteful number, since it uses less digits than its factorization.

420186450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420186450 is about 20498.4499413980. The cubic root of 420186450 is about 748.9980398082.

The spelling of 420186450 in words is "four hundred twenty million, one hundred eighty-six thousand, four hundred fifty".