420729300252 has 120 divisors (see below), whose sum is σ = 1124239308192. Its totient is φ = 137152828800.

The previous prime is 420729300217. The next prime is 420729300287. The reversal of 420729300252 is 252003927024.

It is an interprime number because it is at equal distance from previous prime (420729300217) and next prime (420729300287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5301102 + ... + 5379882.

Almost surely, 2^420729300252 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 420729300252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562119654096).

420729300252 is an abundant number, since it is smaller than the sum of its proper divisors (703510007940).

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

420729300252 is a wasteful number, since it uses less digits than its factorization.

420729300252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79161 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 420729300252 in words is "four hundred twenty billion, seven hundred twenty-nine million, three hundred thousand, two hundred fifty-two".