421781760 has 432 divisors, whose sum is σ = 1607074560. Its totient is φ = 101744640.

The previous prime is 421781743. The next prime is 421781761. The reversal of 421781760 is 67187124.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (421781761) 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, 8974057 + ... + 8974103.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^421781760 is an apocalyptic number.

421781760 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 421781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

421781760 is an abundant number, since it is smaller than the sum of its proper divisors (1185292800).

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

421781760 is a wasteful number, since it uses less digits than its factorization.

421781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 421781760 is about 20537.3260187396. The cubic root of 421781760 is about 749.9447425956.

The spelling of 421781760 in words is "four hundred twenty-one million, seven hundred eighty-one thousand, seven hundred sixty".