420504000 has 224 divisors, whose sum is σ = 1587495936. Its totient is φ = 96076800.

The previous prime is 420503983. The next prime is 420504043. The reversal of 420504000 is 405024.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×420504000² = 353647228032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166749 + ... + 169251.

Almost surely, 2^420504000 is an apocalyptic number.

420504000 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 420504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793747968).

420504000 is an abundant number, since it is smaller than the sum of its proper divisors (1166991936).

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

420504000 is a wasteful number, since it uses less digits than its factorization.

420504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420504000 is about 20506.1941861478. The cubic root of 420504000 is about 749.1866738752.

Adding to 420504000 its reverse (405024), we get a palindrome (420909024).

The spelling of 420504000 in words is "four hundred twenty million, five hundred four thousand".