414545952 has 192 divisors, whose sum is σ = 1257379200. Its totient is φ = 118702080.

The previous prime is 414545939. The next prime is 414545953. The reversal of 414545952 is 259545414.

It is a self number, because there is not a number n which added to its sum of digits gives 414545952.

It is not an unprimeable number, because it can be changed into a prime (414545953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899002 + ... + 899462.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2^414545952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

414545952 is an abundant number, since it is smaller than the sum of its proper divisors (842833248).

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

414545952 is a wasteful number, since it uses less digits than its factorization.

414545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 414545952 is about 20360.4015677491. The cubic root of 414545952 is about 745.6314643773.

The spelling of 414545952 in words is "four hundred fourteen million, five hundred forty-five thousand, nine hundred fifty-two".