412661088 has 288 divisors, whose sum is σ = 1441359360. Its totient is φ = 112492800.

The previous prime is 412661033. The next prime is 412661099. The reversal of 412661088 is 880166214.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812093 + ... + 5812163.

It is an arithmetic number, because the mean of its divisors is an integer number (5004720).

Almost surely, 2^412661088 is an apocalyptic number.

412661088 is a gapful number since it is divisible by the number (48) 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 412661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680).

412661088 is an abundant number, since it is smaller than the sum of its proper divisors (1028698272).

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

412661088 is a wasteful number, since it uses less digits than its factorization.

412661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 412661088 is about 20314.0613369164. The cubic root of 412661088 is about 744.4996643544.

The spelling of 412661088 in words is "four hundred twelve million, six hundred sixty-one thousand, eighty-eight".