452630384640 has 1456 divisors, whose sum is σ = 1918326433536. Its totient is φ = 100329062400.

The previous prime is 452630384629. The next prime is 452630384653. The reversal of 452630384640 is 46483036254.

452630384640 is a `hidden beast` number, since 4 + 5 + 2 + 630 + 3 + 8 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6375075805 + ... + 6375075875.

Almost surely, 2^452630384640 is an apocalyptic number.

452630384640 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 452630384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959163216768).

452630384640 is an abundant number, since it is smaller than the sum of its proper divisors (1465696048896).

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

452630384640 is an frugal number, since it uses more digits than its factorization.

452630384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 452630384640 in words is "four hundred fifty-two billion, six hundred thirty million, three hundred eighty-four thousand, six hundred forty".