4531272480 has 576 divisors, whose sum is σ = 19337730048. Its totient is φ = 942243840.

The previous prime is 4531272479. The next prime is 4531272521. The reversal of 4531272480 is 842721354.

It is a happy number.

4531272480 is a `hidden beast` number, since 4 + 53 + 127 + 2 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5311734 + ... + 5312586.

It is an arithmetic number, because the mean of its divisors is an integer number (33572448).

Almost surely, 2^4531272480 is an apocalyptic number.

4531272480 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 4531272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668865024).

4531272480 is an abundant number, since it is smaller than the sum of its proper divisors (14806457568).

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

4531272480 is a wasteful number, since it uses less digits than its factorization.

4531272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4531272480 is about 67314.7270662223. The cubic root of 4531272480 is about 1654.7792235078.

The spelling of 4531272480 in words is "four billion, five hundred thirty-one million, two hundred seventy-two thousand, four hundred eighty".