420107825 has 12 divisors (see below), whose sum is σ = 551577420. Its totient is φ = 316316160.

The previous prime is 420107813. The next prime is 420107827. The reversal of 420107825 is 528701024.

It can be written as a sum of positive squares in 6 ways, for example, as 185761 + 419922064 = 431^2 + 20492^2 .

It is not a de Polignac number, because 420107825 - 2²² = 415913521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420107827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493820 + ... + 494669.

It is an arithmetic number, because the mean of its divisors is an integer number (45964785).

Almost surely, 2^420107825 is an apocalyptic number.

It is an amenable number.

420107825 is a deficient number, since it is larger than the sum of its proper divisors (131469595).

420107825 is a wasteful number, since it uses less digits than its factorization.

420107825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988516 (or 988511 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 420107825 is about 20496.5320237351. The cubic root of 420107825 is about 748.9513195611.

Adding to 420107825 its reverse (528701024), we get a palindrome (948808849).

The spelling of 420107825 in words is "four hundred twenty million, one hundred seven thousand, eight hundred twenty-five".