412352928 has 144 divisors (see below), whose sum is σ = 1270845576. Its totient is φ = 126074880.

The previous prime is 412352909. The next prime is 412352957. The reversal of 412352928 is 829253214.

It is a happy number.

412352928 is a `hidden beast` number, since 4 + 123 + 529 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386830224 + 25522704 = 19668^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 412352892 and 412352901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902076 + ... + 902532.

Almost surely, 2^412352928 is an apocalyptic number.

412352928 is a gapful number since it is divisible by the number (48) 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 412352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635422788).

412352928 is an abundant number, since it is smaller than the sum of its proper divisors (858492648).

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

412352928 is a wasteful number, since it uses less digits than its factorization.

412352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 412352928 is about 20306.4750264540. The cubic root of 412352928 is about 744.3142966231.

The spelling of 412352928 in words is "four hundred twelve million, three hundred fifty-two thousand, nine hundred twenty-eight".