412735248 has 60 divisors (see below), whose sum is σ = 1223038908. Its totient is φ = 129484800.

The previous prime is 412735243. The next prime is 412735249. The reversal of 412735248 is 842537214.

It is a happy number.

412735248 is a `hidden beast` number, since 4 + 127 + 3 + 524 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258180624 + 154554624 = 16068^2 + 12432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412735241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81853 + ... + 86748.

Almost surely, 2^412735248 is an apocalyptic number.

412735248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412735248 is an abundant number, since it is smaller than the sum of its proper divisors (810303660).

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

412735248 is a wasteful number, since it uses less digits than its factorization.

412735248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168632 (or 168623 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 412735248 is about 20315.8865915323. The cubic root of 412735248 is about 744.5442601010.

The spelling of 412735248 in words is "four hundred twelve million, seven hundred thirty-five thousand, two hundred forty-eight".