420240000 has 320 divisors, whose sum is σ = 1491272640. Its totient is φ = 104448000.

The previous prime is 420239993. The next prime is 420240031. The reversal of 420240000 is 42024.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4079949 + ... + 4080051.

It is an arithmetic number, because the mean of its divisors is an integer number (4660227).

Almost surely, 2^420240000 is an apocalyptic number.

420240000 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 420240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745636320).

420240000 is an abundant number, since it is smaller than the sum of its proper divisors (1071032640).

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

420240000 is a wasteful number, since it uses less digits than its factorization.

420240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 420240000 is about 20499.7560961100. The cubic root of 420240000 is about 749.0298567483.

Adding to 420240000 its reverse (42024), we get a palindrome (420282024).

Multiplying 420240000 by its reverse (42024), we get a square (17660165760000 = 4202400²).

420240000 divided by its reverse (42024) gives a 4-th power (10000 = 10⁴).

The spelling of 420240000 in words is "four hundred twenty million, two hundred forty thousand".