420977412 has 60 divisors (see below), whose sum is σ = 1114516480. Its totient is φ = 138541104.

The previous prime is 420977407. The next prime is 420977413. The reversal of 420977412 is 214779024.

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

It is not an unprimeable number, because it can be changed into a prime (420977413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17373 + ... + 33819.

Almost surely, 2^420977412 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 420977412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557258240).

420977412 is an abundant number, since it is smaller than the sum of its proper divisors (693539068).

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

420977412 is a wasteful number, since it uses less digits than its factorization.

420977412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16542 (or 16531 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 420977412 is about 20517.7340854199. The cubic root of 420977412 is about 749.4677183243.

The spelling of 420977412 in words is "four hundred twenty million, nine hundred seventy-seven thousand, four hundred twelve".