420251202 has 72 divisors (see below), whose sum is σ = 1057807296. Its totient is φ = 118120464.

The previous prime is 420251191. The next prime is 420251207. The reversal of 420251202 is 202152024.

It is a super-2 number, since 2×420251202² = 353222145564889608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420251207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565243 + ... + 565985.

It is an arithmetic number, because the mean of its divisors is an integer number (14691768).

Almost surely, 2^420251202 is an apocalyptic number.

420251202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420251202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903648).

420251202 is an abundant number, since it is smaller than the sum of its proper divisors (637556094).

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

420251202 is a wasteful number, since it uses less digits than its factorization.

420251202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420251202 is about 20500.0293170522. The cubic root of 420251202 is about 749.0365121182.

The spelling of 420251202 in words is "four hundred twenty million, two hundred fifty-one thousand, two hundred two".