411978624 has 64 divisors (see below), whose sum is σ = 1097063040. Its totient is φ = 136982016.

The previous prime is 411978613. The next prime is 411978649. The reversal of 411978624 is 426879114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 185907 + ... + 188109.

It is an arithmetic number, because the mean of its divisors is an integer number (17141610).

Almost surely, 2^411978624 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 411978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548531520).

411978624 is an abundant number, since it is smaller than the sum of its proper divisors (685084416).

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

411978624 is a wasteful number, since it uses less digits than its factorization.

411978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2695 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 411978624 is about 20297.2565633881. The cubic root of 411978624 is about 744.0890169823.

The spelling of 411978624 in words is "four hundred eleven million, nine hundred seventy-eight thousand, six hundred twenty-four".