481432410 has 80 divisors (see below), whose sum is σ = 1303533000. Its totient is φ = 127488384.

The previous prime is 481432409. The next prime is 481432411. The reversal of 481432410 is 14234184.

It is an interprime number because it is at equal distance from previous prime (481432409) and next prime (481432411).

It can be written as a sum of positive squares in 4 ways, for example, as 283551921 + 197880489 = 16839^2 + 14067^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (481432411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118696 + ... + 122684.

Almost surely, 2^481432410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481432410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651766500).

481432410 is an abundant number, since it is smaller than the sum of its proper divisors (822100590).

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

481432410 is a wasteful number, since it uses less digits than its factorization.

481432410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 481432410 is about 21941.5680843462. The cubic root of 481432410 is about 783.7516013795.

Adding to 481432410 its reverse (14234184), we get a palindrome (495666594).

The spelling of 481432410 in words is "four hundred eighty-one million, four hundred thirty-two thousand, four hundred ten".