452679617520 has 320 divisors, whose sum is σ = 1684188455040. Its totient is φ = 111095857152.

The previous prime is 452679617519. The next prime is 452679617543. The reversal of 452679617520 is 25716976254.

It is a happy number.

452679617520 is a `hidden beast` number, since 4 + 5 + 26 + 7 + 96 + 1 + 7 + 520 = 666.

It is a super-2 number, since 2×452679617520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9439042 + ... + 9486878.

It is an arithmetic number, because the mean of its divisors is an integer number (5263088922).

Almost surely, 2^452679617520 is an apocalyptic number.

452679617520 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 452679617520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842094227520).

452679617520 is an abundant number, since it is smaller than the sum of its proper divisors (1231508837520).

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

452679617520 is a wasteful number, since it uses less digits than its factorization.

452679617520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48209 (or 48197 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 452679617520 in words is "four hundred fifty-two billion, six hundred seventy-nine million, six hundred seventeen thousand, five hundred twenty".