420387600 has 120 divisors (see below), whose sum is σ = 1368956032. Its totient is φ = 110246400.

The previous prime is 420387593. The next prime is 420387607. The reversal of 420387600 is 6783024.

It is an interprime number because it is at equal distance from previous prime (420387593) and next prime (420387607).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (420387607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70329 + ... + 76071.

Almost surely, 2^420387600 is an apocalyptic number.

420387600 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 420387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684478016).

420387600 is an abundant number, since it is smaller than the sum of its proper divisors (948568432).

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

420387600 is a wasteful number, since it uses less digits than its factorization.

420387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 420387600 is about 20503.3558228891. The cubic root of 420387600 is about 749.1175398705.

The spelling of 420387600 in words is "four hundred twenty million, three hundred eighty-seven thousand, six hundred".