412528452480 has 96 divisors (see below), whose sum is σ = 1424512332360. Its totient is φ = 110007585792.

The previous prime is 412528452473. The next prime is 412528452481. The reversal of 412528452480 is 84254825214.

It is a happy number.

412528452480 is a `hidden beast` number, since 4 + 1 + 2 + 528 + 45 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412528452481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35804002 + ... + 35815521.

Almost surely, 2^412528452480 is an apocalyptic number.

412528452480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412528452480 is an abundant number, since it is smaller than the sum of its proper divisors (1011983879880).

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

412528452480 is a wasteful number, since it uses less digits than its factorization.

412528452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71619548 (or 71619533 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 412528452480 in words is "four hundred twelve billion, five hundred twenty-eight million, four hundred fifty-two thousand, four hundred eighty".