421634400 has 144 divisors (see below), whose sum is σ = 1497279168. Its totient is φ = 102208000.

The previous prime is 421634387. The next prime is 421634401. The reversal of 421634400 is 4436124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421634401) 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, 18415 + ... + 34385.

It is an arithmetic number, because the mean of its divisors is an integer number (10397772).

Almost surely, 2^421634400 is an apocalyptic number.

421634400 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 421634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

421634400 is an abundant number, since it is smaller than the sum of its proper divisors (1075644768).

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

421634400 is a wasteful number, since it uses less digits than its factorization.

421634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 15992 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 421634400 is about 20533.7380912488. The cubic root of 421634400 is about 749.8573951091.

The spelling of 421634400 in words is "four hundred twenty-one million, six hundred thirty-four thousand, four hundred".