420604800 has 384 divisors, whose sum is σ = 1730246400. Its totient is φ = 87244800.

The previous prime is 420604783. The next prime is 420604831. The reversal of 420604800 is 8406024.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738916 + ... + 739484.

It is an arithmetic number, because the mean of its divisors is an integer number (4505850).

Almost surely, 2^420604800 is an apocalyptic number.

420604800 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 420604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865123200).

420604800 is an abundant number, since it is smaller than the sum of its proper divisors (1309641600).

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

420604800 is a wasteful number, since it uses less digits than its factorization.

420604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420604800 is about 20508.6518328241. The cubic root of 420604800 is about 749.2465321907.

The spelling of 420604800 in words is "four hundred twenty million, six hundred four thousand, eight hundred".