412933536 has 288 divisors, whose sum is σ = 1372775040. Its totient is φ = 116785152.

The previous prime is 412933531. The next prime is 412933537. The reversal of 412933536 is 635339214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 412933536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412933531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2139456 + ... + 2139648.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2^412933536 is an apocalyptic number.

412933536 is a gapful number since it is divisible by the number (46) 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 412933536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686387520).

412933536 is an abundant number, since it is smaller than the sum of its proper divisors (959841504).

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

412933536 is a wasteful number, since it uses less digits than its factorization.

412933536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 412933536 is about 20320.7661272896. The cubic root of 412933536 is about 744.6634733715.

The spelling of 412933536 in words is "four hundred twelve million, nine hundred thirty-three thousand, five hundred thirty-six".