420005355 has 64 divisors (see below), whose sum is σ = 881971200. Its totient is φ = 165352320.

The previous prime is 420005351. The next prime is 420005359. The reversal of 420005355 is 553500024.

It is an interprime number because it is at equal distance from previous prime (420005351) and next prime (420005359).

It is not a de Polignac number, because 420005355 - 2² = 420005351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420005351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12376 + ... + 31514.

It is an arithmetic number, because the mean of its divisors is an integer number (13780800).

Almost surely, 2^420005355 is an apocalyptic number.

420005355 is an abundant number, since it is smaller than the sum of its proper divisors (461965845).

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

420005355 is a wasteful number, since it uses less digits than its factorization.

420005355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19184.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 420005355 is about 20494.0321801250. The cubic root of 420005355 is about 748.8904214791.

Adding to 420005355 its reverse (553500024), we get a palindrome (973505379).

The spelling of 420005355 in words is "four hundred twenty million, five thousand, three hundred fifty-five".