412864452 has 480 divisors, whose sum is σ = 1548180480. Its totient is φ = 92378880.

The previous prime is 412864451. The next prime is 412864453. The reversal of 412864452 is 254468214.

412864452 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 644 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (412864451) and next prime (412864453).

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 (412864451) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6162123 + ... + 6162189.

It is an arithmetic number, because the mean of its divisors is an integer number (3225376).

Almost surely, 2^412864452 is an apocalyptic number.

412864452 is a gapful number since it is divisible by the number (42) 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 412864452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774090240).

412864452 is an abundant number, since it is smaller than the sum of its proper divisors (1135316028).

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

412864452 is a wasteful number, since it uses less digits than its factorization.

412864452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 412864452 is about 20319.0662187021. The cubic root of 412864452 is about 744.6219435238.

The spelling of 412864452 in words is "four hundred twelve million, eight hundred sixty-four thousand, four hundred fifty-two".