420390000 has 300 divisors, whose sum is σ = 1533427896. Its totient is φ = 111456000.

The previous prime is 420389993. The next prime is 420390013. The reversal of 420390000 is 93024.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2429914 + ... + 2430086.

Almost surely, 2^420390000 is an apocalyptic number.

420390000 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 420390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766713948).

420390000 is an abundant number, since it is smaller than the sum of its proper divisors (1113037896).

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

420390000 is an equidigital number, since it uses as much as digits as its factorization.

420390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 420390000 is about 20503.4143498101. The cubic root of 420390000 is about 749.1189654427.

The spelling of 420390000 in words is "four hundred twenty million, three hundred ninety thousand".