4146531480 has 512 divisors, whose sum is σ = 17573068800. Its totient is φ = 846028800.

The previous prime is 4146531439. The next prime is 4146531527. The reversal of 4146531480 is 841356414.

4146531480 is a `hidden beast` number, since 4 + 1 + 46 + 531 + 4 + 80 = 666.

4146531480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4146531480³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046000 + ... + 3047360.

It is an arithmetic number, because the mean of its divisors is an integer number (34322400).

Almost surely, 2^4146531480 is an apocalyptic number.

4146531480 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 4146531480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786534400).

4146531480 is an abundant number, since it is smaller than the sum of its proper divisors (13426537320).

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

4146531480 is a wasteful number, since it uses less digits than its factorization.

4146531480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4146531480 is about 64393.5670700110. The cubic root of 4146531480 is about 1606.5527466006.

Adding to 4146531480 its reverse (841356414), we get a palindrome (4987887894).

The spelling of 4146531480 in words is "four billion, one hundred forty-six million, five hundred thirty-one thousand, four hundred eighty".