4180500480 has 224 divisors, whose sum is σ = 14411273184. Its totient is φ = 1028653056.

The previous prime is 4180500461. The next prime is 4180500487. The reversal of 4180500480 is 840050814.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180500487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596132 + ... + 1598748.

It is an arithmetic number, because the mean of its divisors is an integer number (64336041).

Almost surely, 2^4180500480 is an apocalyptic number.

4180500480 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 4180500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205636592).

4180500480 is an abundant number, since it is smaller than the sum of its proper divisors (10230772704).

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

4180500480 is a wasteful number, since it uses less digits than its factorization.

4180500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4180500480 is about 64656.7898986642. The cubic root of 4180500480 is about 1610.9278604135.

The spelling of 4180500480 in words is "four billion, one hundred eighty million, five hundred thousand, four hundred eighty".