411610464 has 48 divisors (see below), whose sum is σ = 1200533040. Its totient is φ = 137203200.

The previous prime is 411610457. The next prime is 411610469. The reversal of 411610464 is 464016114.

411610464 is a `hidden beast` number, since 4 + 1 + 1 + 610 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411610469) 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 7 ways as a sum of consecutive naturals, for example, 237337 + ... + 239064.

It is an arithmetic number, because the mean of its divisors is an integer number (25011105).

Almost surely, 2^411610464 is an apocalyptic number.

It is an amenable number.

411610464 is an abundant number, since it is smaller than the sum of its proper divisors (788922576).

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

411610464 is a wasteful number, since it uses less digits than its factorization.

411610464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476420 (or 476406 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 411610464 is about 20288.1853303838. The cubic root of 411610464 is about 743.8673020361.

Adding to 411610464 its reverse (464016114), we get a palindrome (875626578).

The spelling of 411610464 in words is "four hundred eleven million, six hundred ten thousand, four hundred sixty-four".