420545000 has 80 divisors (see below), whose sum is σ = 992260500. Its totient is φ = 167040000.

The previous prime is 420544991. The next prime is 420545003. The reversal of 420545000 is 545024.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 376996 + 420168004 = 614^2 + 20498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420545003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1204826 + ... + 1205174.

Almost surely, 2^420545000 is an apocalyptic number.

420545000 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 420545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496130250).

420545000 is an abundant number, since it is smaller than the sum of its proper divisors (571715500).

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

420545000 is a wasteful number, since it uses less digits than its factorization.

420545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 420545000 is about 20507.1938597166. The cubic root of 420545000 is about 749.2110221615.

The spelling of 420545000 in words is "four hundred twenty million, five hundred forty-five thousand".