420952300 has 72 divisors (see below), whose sum is σ = 972968976. Its totient is φ = 157532160.

The previous prime is 420952291. The next prime is 420952307. The reversal of 420952300 is 3259024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (420952307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327459 + ... + 328741.

It is an arithmetic number, because the mean of its divisors is an integer number (13513458).

Almost surely, 2^420952300 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 420952300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486484488).

420952300 is an abundant number, since it is smaller than the sum of its proper divisors (552016676).

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

420952300 is a wasteful number, since it uses less digits than its factorization.

420952300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 420952300 is about 20517.1221178800. The cubic root of 420952300 is about 749.4528156977.

The spelling of 420952300 in words is "four hundred twenty million, nine hundred fifty-two thousand, three hundred".