412988544 has 160 divisors (see below), whose sum is σ = 1251108540. Its totient is φ = 135198720.

The previous prime is 412988533. The next prime is 412988549. The reversal of 412988544 is 445889214.

412988544 is a `hidden beast` number, since 4 + 1 + 29 + 88 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337089600 + 75898944 = 18360^2 + 8712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412988544.

It is not an unprimeable number, because it can be changed into a prime (412988549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632122 + ... + 632774.

Almost surely, 2^412988544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625554270).

412988544 is an abundant number, since it is smaller than the sum of its proper divisors (838119996).

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

412988544 is an equidigital number, since it uses as much as digits as its factorization.

412988544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 412988544 is about 20322.1195744932. The cubic root of 412988544 is about 744.6965381192.

The spelling of 412988544 in words is "four hundred twelve million, nine hundred eighty-eight thousand, five hundred forty-four".