421688880 has 240 divisors, whose sum is σ = 1468673856. Its totient is φ = 108380160.

The previous prime is 421688879. The next prime is 421688881. The reversal of 421688880 is 88886124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421688879) and next prime (421688881).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (421688881) 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, 3731704 + ... + 3731816.

Almost surely, 2^421688880 is an apocalyptic number.

421688880 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 421688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734336928).

421688880 is an abundant number, since it is smaller than the sum of its proper divisors (1046984976).

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

421688880 is a wasteful number, since it uses less digits than its factorization.

421688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 421688880 is about 20535.0646456251. The cubic root of 421688880 is about 749.8896904432.

It can be divided in two parts, 4216 and 88880, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 421688880 in words is "four hundred twenty-one million, six hundred eighty-eight thousand, eight hundred eighty".