420667800 has 192 divisors, whose sum is σ = 1531211520. Its totient is φ = 93519360.

The previous prime is 420667787. The next prime is 420667801. The reversal of 420667800 is 8766024.

It is a super-2 number, since 2×420667800² = 353922795913680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420667801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154047 + ... + 156753.

It is an arithmetic number, because the mean of its divisors is an integer number (7975060).

Almost surely, 2^420667800 is an apocalyptic number.

420667800 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 420667800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765605760).

420667800 is an abundant number, since it is smaller than the sum of its proper divisors (1110543720).

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

420667800 is a wasteful number, since it uses less digits than its factorization.

420667800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 420667800 is about 20510.1877124516. The cubic root of 420667800 is about 749.2839387816.

The spelling of 420667800 in words is "four hundred twenty million, six hundred sixty-seven thousand, eight hundred".