412752480 has 384 divisors, whose sum is σ = 1596672000. Its totient is φ = 89413632.

The previous prime is 412752479. The next prime is 412752481. The reversal of 412752480 is 84257214.

It is an interprime number because it is at equal distance from previous prime (412752479) and next prime (412752481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412752481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786666 + ... + 3786774.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^412752480 is an apocalyptic number.

412752480 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 412752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

412752480 is an abundant number, since it is smaller than the sum of its proper divisors (1183919520).

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

412752480 is a wasteful number, since it uses less digits than its factorization.

412752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 412752480 is about 20316.3106887053. The cubic root of 412752480 is about 744.5546217135.

The spelling of 412752480 in words is "four hundred twelve million, seven hundred fifty-two thousand, four hundred eighty".