412778952 has 72 divisors (see below), whose sum is σ = 1179953190. Its totient is φ = 130343040.

The previous prime is 412778917. The next prime is 412778963. The reversal of 412778952 is 259877214.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 258373476 + 154405476 = 16074^2 + 12426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 412778898 and 412778907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18052 + ... + 33932.

Almost surely, 2^412778952 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 412778952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589976595).

412778952 is an abundant number, since it is smaller than the sum of its proper divisors (767174238).

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

412778952 is a wasteful number, since it uses less digits than its factorization.

412778952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931 (or 15905 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 412778952 is about 20316.9621744984. The cubic root of 412778952 is about 744.5705387821.

The spelling of 412778952 in words is "four hundred twelve million, seven hundred seventy-eight thousand, nine hundred fifty-two".