420351540 has 96 divisors (see below), whose sum is σ = 1349048064. Its totient is φ = 95800320.

The previous prime is 420351523. The next prime is 420351551. The reversal of 420351540 is 45153024.

It is a self number, because there is not a number n which added to its sum of digits gives 420351540.

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, 165480 + ... + 168000.

It is an arithmetic number, because the mean of its divisors is an integer number (14052584).

Almost surely, 2^420351540 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 420351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674524032).

420351540 is an abundant number, since it is smaller than the sum of its proper divisors (928696524).

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

420351540 is a wasteful number, since it uses less digits than its factorization.

420351540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 420351540 is about 20502.4764357870. The cubic root of 420351540 is about 749.0961199944.

The spelling of 420351540 in words is "four hundred twenty million, three hundred fifty-one thousand, five hundred forty".