420751000 has 64 divisors (see below), whose sum is σ = 992609280. Its totient is φ = 166924800.

The previous prime is 420750973. The next prime is 420751021. The reversal of 420751000 is 157024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125344 + ... + 128656.

It is an arithmetic number, because the mean of its divisors is an integer number (15509520).

Almost surely, 2^420751000 is an apocalyptic number.

420751000 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 420751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496304640).

420751000 is an abundant number, since it is smaller than the sum of its proper divisors (571858280).

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

420751000 is a wasteful number, since it uses less digits than its factorization.

420751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 420751000 is about 20512.2158724990. The cubic root of 420751000 is about 749.3333335092. Note that the first 6 decimals are identical.

The spelling of 420751000 in words is "four hundred twenty million, seven hundred fifty-one thousand".