420410340 has 288 divisors, whose sum is σ = 1625944320. Its totient is φ = 85598208.

The previous prime is 420410311. The next prime is 420410369. The reversal of 420410340 is 43014024.

It is an interprime number because it is at equal distance from previous prime (420410311) and next prime (420410369).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 406464 + ... + 407496.

It is an arithmetic number, because the mean of its divisors is an integer number (5645640).

Almost surely, 2^420410340 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 420410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812972160).

420410340 is an abundant number, since it is smaller than the sum of its proper divisors (1205533980).

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

420410340 is a wasteful number, since it uses less digits than its factorization.

420410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420410340 is about 20503.9103587584. The cubic root of 420410340 is about 749.1310469496.

Adding to 420410340 its reverse (43014024), we get a palindrome (463424364).

The spelling of 420410340 in words is "four hundred twenty million, four hundred ten thousand, three hundred forty".