452514352152240 has 480 divisors, whose sum is σ = 1742597993126016. Its totient is φ = 103086253670400.

The previous prime is 452514352152217. The next prime is 452514352152253. The reversal of 452514352152240 is 42251253415254.

452514352152240 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 1 + 4 + 352 + 1 + 52 + 240 = 666.

It is a super-2 number, since 2×452514352152240² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 13467271440 + ... + 13467305040.

Almost surely, 2^{452514352152240} is an apocalyptic number.

452514352152240 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 452514352152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871298996563008).

452514352152240 is an abundant number, since it is smaller than the sum of its proper divisors (1290083640973776).

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

452514352152240 is a wasteful number, since it uses less digits than its factorization.

452514352152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42477 (or 42468 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 452514352152240 in words is "four hundred fifty-two trillion, five hundred fourteen billion, three hundred fifty-two million, one hundred fifty-two thousand, two hundred forty".