416549952 has 280 divisors, whose sum is σ = 1521455936. Its totient is φ = 109734912.

The previous prime is 416549891. The next prime is 416549953. The reversal of 416549952 is 259945614.

416549952 is a `hidden beast` number, since 4 + 16 + 549 + 95 + 2 = 666.

It is a super-2 number, since 2×416549952² = 347027725022404608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416549898 and 416549907.

It is not an unprimeable number, because it can be changed into a prime (416549953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471303 + ... + 472185.

Almost surely, 2^416549952 is an apocalyptic number.

416549952 is a gapful number since it is divisible by the number (42) 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 416549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760727968).

416549952 is an abundant number, since it is smaller than the sum of its proper divisors (1104905984).

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

416549952 is a wasteful number, since it uses less digits than its factorization.

416549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 908 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 416549952 is about 20409.5554091705. Note that the first 3 decimals coincide. The cubic root of 416549952 is about 746.8310451587.

The spelling of 416549952 in words is "four hundred sixteen million, five hundred forty-nine thousand, nine hundred fifty-two".