41430480 has 240 divisors, whose sum is σ = 161489664. Its totient is φ = 8709120.

The previous prime is 41430463. The next prime is 41430497. The reversal of 41430480 is 8403414.

It is an interprime number because it is at equal distance from previous prime (41430463) and next prime (41430497).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41430480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152745 + ... + 153015.

Almost surely, 2^41430480 is an apocalyptic number.

41430480 is a gapful number since it is divisible by the number (40) 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 41430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744832).

41430480 is an abundant number, since it is smaller than the sum of its proper divisors (120059184).

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

41430480 is a wasteful number, since it uses less digits than its factorization.

41430480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 41430480 is about 6436.6513032787. The cubic root of 41430480 is about 346.0243447960.

Adding to 41430480 its reverse (8403414), we get a palindrome (49833894).

The spelling of 41430480 in words is "forty-one million, four hundred thirty thousand, four hundred eighty".