412894080 has 192 divisors, whose sum is σ = 1442422800. Its totient is φ = 108822528.

The previous prime is 412894043. The next prime is 412894081. The reversal of 412894080 is 80498214.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412894081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558351 + ... + 559089.

Almost surely, 2^412894080 is an apocalyptic number.

412894080 is a gapful number since it is divisible by the number (40) 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 412894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721211400).

412894080 is an abundant number, since it is smaller than the sum of its proper divisors (1029528720).

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

412894080 is a wasteful number, since it uses less digits than its factorization.

412894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 412894080 is about 20319.7952745592. The cubic root of 412894080 is about 744.6397549638.

It can be divided in two parts, 41289 and 4080, that added together give a square (45369 = 213²).

The spelling of 412894080 in words is "four hundred twelve million, eight hundred ninety-four thousand, eighty".