420167580 has 192 divisors, whose sum is σ = 1442810880. Its totient is φ = 89174016.

The previous prime is 420167537. The next prime is 420167581. The reversal of 420167580 is 85761024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420167581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592266 + ... + 592974.

It is an arithmetic number, because the mean of its divisors is an integer number (7514640).

Almost surely, 2^420167580 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 420167580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721405440).

420167580 is an abundant number, since it is smaller than the sum of its proper divisors (1022643300).

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

420167580 is a wasteful number, since it uses less digits than its factorization.

420167580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 420167580 is about 20497.9896575250. The cubic root of 420167580 is about 748.9868274805.

The spelling of 420167580 in words is "four hundred twenty million, one hundred sixty-seven thousand, five hundred eighty".