411653088 has 288 divisors, whose sum is σ = 1537885440. Its totient is φ = 101191680.

The previous prime is 411653051. The next prime is 411653111. The reversal of 411653088 is 880356114.

411653088 is a `hidden beast` number, since 4 + 116 + 530 + 8 + 8 = 666.

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, 420856 + ... + 421832.

It is an arithmetic number, because the mean of its divisors is an integer number (5339880).

Almost surely, 2^411653088 is an apocalyptic number.

411653088 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 411653088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768942720).

411653088 is an abundant number, since it is smaller than the sum of its proper divisors (1126232352).

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

411653088 is a wasteful number, since it uses less digits than its factorization.

411653088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 411653088 is about 20289.2357667804. The cubic root of 411653088 is about 743.8929780156.

It can be divided in two parts, 41165 and 3088, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 411653088 in words is "four hundred eleven million, six hundred fifty-three thousand, eighty-eight".