420964500 has 192 divisors, whose sum is σ = 1382105088. Its totient is φ = 98640000.

The previous prime is 420964499. The next prime is 420964547. The reversal of 420964500 is 5469024.

It is a super-3 number, since 3×420964500³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 511089 + ... + 511911.

It is an arithmetic number, because the mean of its divisors is an integer number (7198464).

Almost surely, 2^420964500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691052544).

420964500 is an abundant number, since it is smaller than the sum of its proper divisors (961140588).

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

420964500 is a wasteful number, since it uses less digits than its factorization.

420964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 420964500 is about 20517.4194283784. The cubic root of 420964500 is about 749.4600558181.

The spelling of 420964500 in words is "four hundred twenty million, nine hundred sixty-four thousand, five hundred".