421961760 has 288 divisors, whose sum is σ = 1664312832. Its totient is φ = 96215040.

The previous prime is 421961759. The next prime is 421961783. The reversal of 421961760 is 67169124.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 268497 + ... + 270063.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^421961760 is an apocalyptic number.

421961760 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 421961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

421961760 is an abundant number, since it is smaller than the sum of its proper divisors (1242351072).

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

421961760 is a wasteful number, since it uses less digits than its factorization.

421961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 421961760 is about 20541.7078160507. The cubic root of 421961760 is about 750.0514098093.

It can be divided in two parts, 42196 and 1760, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 421961760 in words is "four hundred twenty-one million, nine hundred sixty-one thousand, seven hundred sixty".