420968925 has 72 divisors (see below), whose sum is σ = 831134304. Its totient is φ = 202366080.

The previous prime is 420968879. The next prime is 420968927. The reversal of 420968925 is 529869024.

It is not a de Polignac number, because 420968925 - 2⁶ = 420968861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420968927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124102 + ... + 127448.

It is an arithmetic number, because the mean of its divisors is an integer number (11543532).

Almost surely, 2^420968925 is an apocalyptic number.

420968925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420968925 is a deficient number, since it is larger than the sum of its proper divisors (410165379).

420968925 is a wasteful number, since it uses less digits than its factorization.

420968925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 420968925 is about 20517.5272632937. The cubic root of 420968925 is about 749.4626818108.

The spelling of 420968925 in words is "four hundred twenty million, nine hundred sixty-eight thousand, nine hundred twenty-five".