420551040 has 512 divisors, whose sum is σ = 1727308800. Its totient is φ = 84639744.

The previous prime is 420551039. The next prime is 420551041. The reversal of 420551040 is 40155024.

It is an interprime number because it is at equal distance from previous prime (420551039) and next prime (420551041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 420550998 and 420551016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420551041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5066839 + ... + 5066921.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^420551040 is an apocalyptic number.

420551040 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 420551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

420551040 is an abundant number, since it is smaller than the sum of its proper divisors (1306757760).

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

420551040 is a wasteful number, since it uses less digits than its factorization.

420551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 420551040 is about 20507.3411245827. The cubic root of 420551040 is about 749.2146089461.

The spelling of 420551040 in words is "four hundred twenty million, five hundred fifty-one thousand, forty".