421624320 has 320 divisors, whose sum is σ = 1501403904. Its totient is φ = 100270080.

The previous prime is 421624309. The next prime is 421624337. The reversal of 421624320 is 23426124.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4093389 + ... + 4093491.

Almost surely, 2^421624320 is an apocalyptic number.

421624320 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 421624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

421624320 is an abundant number, since it is smaller than the sum of its proper divisors (1079779584).

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

421624320 is a wasteful number, since it uses less digits than its factorization.

421624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

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

The square root of 421624320 is about 20533.4926400747. The cubic root of 421624320 is about 749.8514194559.

The spelling of 421624320 in words is "four hundred twenty-one million, six hundred twenty-four thousand, three hundred twenty".