403264512 has 396 divisors, whose sum is σ = 1456153920. Its totient is φ = 106831872.

The previous prime is 403264507. The next prime is 403264513. The reversal of 403264512 is 215462304.

403264512 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 645 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403264513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8580073 + ... + 8580119.

Almost surely, 2^403264512 is an apocalyptic number.

403264512 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 403264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728076960).

403264512 is an abundant number, since it is smaller than the sum of its proper divisors (1052889408).

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

403264512 is a wasteful number, since it uses less digits than its factorization.

403264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 403264512 is about 20081.4469598184. The cubic root of 403264512 is about 738.8052989260.

It can be divided in two parts, 4032 and 64512, that multiplied together give a square (260112384 = 16128²).

The spelling of 403264512 in words is "four hundred three million, two hundred sixty-four thousand, five hundred twelve".