421277472 has 288 divisors, whose sum is σ = 1515556224. Its totient is φ = 108725760.

The previous prime is 421277471. The next prime is 421277489. The reversal of 421277472 is 274772124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421277471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2683218 + ... + 2683374.

It is an arithmetic number, because the mean of its divisors is an integer number (5262348).

Almost surely, 2^421277472 is an apocalyptic number.

421277472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757778112).

421277472 is an abundant number, since it is smaller than the sum of its proper divisors (1094278752).

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

421277472 is a wasteful number, since it uses less digits than its factorization.

421277472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 421277472 is about 20525.0449938605. The cubic root of 421277472 is about 749.6457420281.

The spelling of 421277472 in words is "four hundred twenty-one million, two hundred seventy-seven thousand, four hundred seventy-two".