420903000 has 512 divisors, whose sum is σ = 1779148800. Its totient is φ = 89856000.

The previous prime is 420902957. The next prime is 420903061. The reversal of 420903000 is 309024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3212935 + ... + 3213065.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^420903000 is an apocalyptic number.

420903000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889574400).

420903000 is an abundant number, since it is smaller than the sum of its proper divisors (1358245800).

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

420903000 is a wasteful number, since it uses less digits than its factorization.

420903000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 420903000 is about 20515.9206471462. The cubic root of 420903000 is about 749.4235570649.

The spelling of 420903000 in words is "four hundred twenty million, nine hundred three thousand".