420157080 has 192 divisors, whose sum is σ = 1573266240. Its totient is φ = 95256576.

The previous prime is 420157037. The next prime is 420157093. The reversal of 420157080 is 80751024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344632 + ... + 345848.

It is an arithmetic number, because the mean of its divisors is an integer number (8194095).

Almost surely, 2^420157080 is an apocalyptic number.

420157080 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 420157080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786633120).

420157080 is an abundant number, since it is smaller than the sum of its proper divisors (1153109160).

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

420157080 is a wasteful number, since it uses less digits than its factorization.

420157080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 420157080 is about 20497.7335332470. The cubic root of 420157080 is about 748.9805883610.

The spelling of 420157080 in words is "four hundred twenty million, one hundred fifty-seven thousand, eighty".