420517780 has 48 divisors (see below), whose sum is σ = 950927040. Its totient is φ = 155621888.

The previous prime is 420517753. The next prime is 420517781. The reversal of 420517780 is 87715024.

It is a happy number.

420517780 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420517780² = 353670406592256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420517781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9579 + ... + 30541.

It is an arithmetic number, because the mean of its divisors is an integer number (19810980).

Almost surely, 2^420517780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420517780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475463520).

420517780 is an abundant number, since it is smaller than the sum of its proper divisors (530409260).

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

420517780 is a wasteful number, since it uses less digits than its factorization.

420517780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21048 (or 21046 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 420517780 is about 20506.5301794331. The cubic root of 420517780 is about 749.1948574514.

The spelling of 420517780 in words is "four hundred twenty million, five hundred seventeen thousand, seven hundred eighty".