420026880 has 320 divisors, whose sum is σ = 1655394048. Its totient is φ = 88473600.

The previous prime is 420026879. The next prime is 420026891. The reversal of 420026880 is 88620024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698580 + ... + 699180.

Almost surely, 2^420026880 is an apocalyptic number.

420026880 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 420026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827697024).

420026880 is an abundant number, since it is smaller than the sum of its proper divisors (1235367168).

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

420026880 is a wasteful number, since it uses less digits than its factorization.

420026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 420026880 is about 20494.5573262757. The cubic root of 420026880 is about 748.9032146421.

The spelling of 420026880 in words is "four hundred twenty million, twenty-six thousand, eight hundred eighty".