420904600 has 96 divisors (see below), whose sum is σ = 1049173920. Its totient is φ = 156625920.

The previous prime is 420904591. The next prime is 420904621. The reversal of 420904600 is 6409024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168964 + ... + 171436.

It is an arithmetic number, because the mean of its divisors is an integer number (10928895).

Almost surely, 2^420904600 is an apocalyptic number.

420904600 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 420904600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524586960).

420904600 is an abundant number, since it is smaller than the sum of its proper divisors (628269320).

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

420904600 is a wasteful number, since it uses less digits than its factorization.

420904600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 420904600 is about 20515.9596412159. The cubic root of 420904600 is about 749.4245066710.

The spelling of 420904600 in words is "four hundred twenty million, nine hundred four thousand, six hundred".