421752825 has 120 divisors (see below), whose sum is σ = 866060888. Its totient is φ = 201553920.

The previous prime is 421752811. The next prime is 421752833. The reversal of 421752825 is 528257124.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 185177664 + 236575161 = 13608^2 + 15381^2 .

It is not a de Polignac number, because 421752825 - 2⁴ = 421752809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 421752825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 973809 + ... + 974241.

Almost surely, 2^421752825 is an apocalyptic number.

421752825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421752825 is an abundant number, since it is smaller than the sum of its proper divisors (444308063).

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

421752825 is a wasteful number, since it uses less digits than its factorization.

421752825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 421752825 is about 20536.6215575980. The cubic root of 421752825 is about 749.9275930099.

The spelling of 421752825 in words is "four hundred twenty-one million, seven hundred fifty-two thousand, eight hundred twenty-five".