416220525 has 60 divisors (see below), whose sum is σ = 881154912. Its totient is φ = 190265760.

The previous prime is 416220491. The next prime is 416220547. The reversal of 416220525 is 525022614.

416220525 is a `hidden beast` number, since 416 + 220 + 5 + 25 = 666.

It is not a de Polignac number, because 416220525 - 2⁶ = 416220461 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 507 + ... + 28856.

Almost surely, 2^416220525 is an apocalyptic number.

416220525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416220525 is an abundant number, since it is smaller than the sum of its proper divisors (464934387).

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

416220525 is a wasteful number, since it uses less digits than its factorization.

416220525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29392 (or 29378 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 416220525 is about 20401.4834019490. The cubic root of 416220525 is about 746.6341170397.

The spelling of 416220525 in words is "four hundred sixteen million, two hundred twenty thousand, five hundred twenty-five".