42301980 has 288 divisors, whose sum is σ = 163860480. Its totient is φ = 8864640.

The previous prime is 42301969. The next prime is 42302077. The reversal of 42301980 is 8910324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1364565 + ... + 1364595.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 2^42301980 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 42301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

42301980 is an abundant number, since it is smaller than the sum of its proper divisors (121558500).

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

42301980 is a wasteful number, since it uses less digits than its factorization.

42301980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42301980 is about 6503.9972324717. The cubic root of 42301980 is about 348.4337635117.

The spelling of 42301980 in words is "forty-two million, three hundred one thousand, nine hundred eighty".