452481513120 has 2304 divisors, whose sum is σ = 2130320424960. Its totient is φ = 88038752256.

The previous prime is 452481513061. The next prime is 452481513137. The reversal of 452481513120 is 21315184254.

452481513120 is a `hidden beast` number, since 4 + 5 + 2 + 481 + 51 + 3 + 120 = 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 383 ways as a sum of consecutive naturals, for example, 3562846497 + ... + 3562846623.

It is an arithmetic number, because the mean of its divisors is an integer number (924618240).

Almost surely, 2^452481513120 is an apocalyptic number.

452481513120 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 452481513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065160212480).

452481513120 is an abundant number, since it is smaller than the sum of its proper divisors (1677838911840).

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

452481513120 is a wasteful number, since it uses less digits than its factorization.

452481513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 452481513120 its reverse (21315184254), we get a palindrome (473796697374).

The spelling of 452481513120 in words is "four hundred fifty-two billion, four hundred eighty-one million, five hundred thirteen thousand, one hundred twenty".