420535125 has 64 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 219960000.

The previous prime is 420535123. The next prime is 420535127. The reversal of 420535125 is 521535024.

It is a happy number.

420535125 is a `hidden beast` number, since 4 + 2 + 0 + 535 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (420535123) and next prime (420535127).

It is not a de Polignac number, because 420535125 - 2¹ = 420535123 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420535123) 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, 177700 + ... + 180050.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^420535125 is an apocalyptic number.

420535125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420535125 is a deficient number, since it is larger than the sum of its proper divisors (371994795).

420535125 is a wasteful number, since it uses less digits than its factorization.

420535125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 420535125 is about 20506.9530891354. The cubic root of 420535125 is about 749.2051579324.

The spelling of 420535125 in words is "four hundred twenty million, five hundred thirty-five thousand, one hundred twenty-five".