421962600 has 96 divisors (see below), whose sum is σ = 1365001920. Its totient is φ = 107627520.

The previous prime is 421962599. The next prime is 421962601. The reversal of 421962600 is 6269124.

It is an interprime number because it is at equal distance from previous prime (421962599) and next prime (421962601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421962601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1489 + ... + 29088.

It is an arithmetic number, because the mean of its divisors is an integer number (14218770).

Almost surely, 2^421962600 is an apocalyptic number.

421962600 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 421962600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682500960).

421962600 is an abundant number, since it is smaller than the sum of its proper divisors (943039320).

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

421962600 is a wasteful number, since it uses less digits than its factorization.

421962600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619 (or 30610 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 421962600 is about 20541.7282622471. The cubic root of 421962600 is about 750.0519075185.

The spelling of 421962600 in words is "four hundred twenty-one million, nine hundred sixty-two thousand, six hundred".