420137956 has 96 divisors (see below), whose sum is σ = 919296000. Its totient is φ = 167438880.

The previous prime is 420137953. The next prime is 420137959. The reversal of 420137956 is 659731024.

It is an interprime number because it is at equal distance from previous prime (420137953) and next prime (420137959).

It is not an unprimeable number, because it can be changed into a prime (420137953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850715 + ... + 1850941.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2^420137956 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 420137956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

420137956 is an abundant number, since it is smaller than the sum of its proper divisors (499158044).

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

420137956 is a wasteful number, since it uses less digits than its factorization.

420137956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 420137956 is about 20497.2670373394. The cubic root of 420137956 is about 748.9692245776.

The spelling of 420137956 in words is "four hundred twenty million, one hundred thirty-seven thousand, nine hundred fifty-six".