420698880 has 576 divisors, whose sum is σ = 1789562880. Its totient is φ = 91570176.

The previous prime is 420698879. The next prime is 420698899. The reversal of 420698880 is 88896024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8951017 + ... + 8951063.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^420698880 is an apocalyptic number.

420698880 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 420698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894781440).

420698880 is an abundant number, since it is smaller than the sum of its proper divisors (1368864000).

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

420698880 is a wasteful number, since it uses less digits than its factorization.

420698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 420698880 is about 20510.9453707039. The cubic root of 420698880 is about 749.3023913240.

The spelling of 420698880 in words is "four hundred twenty million, six hundred ninety-eight thousand, eight hundred eighty".