412540128 has 576 divisors, whose sum is σ = 1664312832. Its totient is φ = 97044480.

The previous prime is 412540111. The next prime is 412540147. The reversal of 412540128 is 821045214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783750 + ... + 7783802.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^412540128 is an apocalyptic number.

412540128 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 412540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

412540128 is an abundant number, since it is smaller than the sum of its proper divisors (1251772704).

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

412540128 is a wasteful number, since it uses less digits than its factorization.

412540128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 412540128 is about 20311.0838706358. The cubic root of 412540128 is about 744.4269141949.

It can be divided in two parts, 4125 and 40128, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 412540128 in words is "four hundred twelve million, five hundred forty thousand, one hundred twenty-eight".