452010507408 has 80 divisors (see below), whose sum is σ = 1298800175040. Its totient is φ = 150511931136.

The previous prime is 452010507397. The next prime is 452010507427. The reversal of 452010507408 is 804705010254.

452010507408 is a `hidden beast` number, since 4 + 520 + 10 + 50 + 74 + 0 + 8 = 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 15 ways as a sum of consecutive naturals, for example, 137266 + ... + 960657.

It is an arithmetic number, because the mean of its divisors is an integer number (16235002188).

Almost surely, 2^452010507408 is an apocalyptic number.

452010507408 is a gapful number since it is divisible by the number (48) 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 452010507408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649400087520).

452010507408 is an abundant number, since it is smaller than the sum of its proper divisors (846789667632).

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

452010507408 is a wasteful number, since it uses less digits than its factorization.

452010507408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098893 (or 1098881 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 452010507408 in words is "four hundred fifty-two billion, ten million, five hundred seven thousand, four hundred eight".