410468064 has 96 divisors (see below), whose sum is σ = 1098510336. Its totient is φ = 134184960.

The previous prime is 410468041. The next prime is 410468101. The reversal of 410468064 is 460864014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597024 + ... + 1597280.

It is an arithmetic number, because the mean of its divisors is an integer number (11442816).

Almost surely, 2^410468064 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 410468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549255168).

410468064 is an abundant number, since it is smaller than the sum of its proper divisors (688042272).

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

410468064 is a wasteful number, since it uses less digits than its factorization.

410468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 410468064 is about 20260.0114511320. The cubic root of 410468064 is about 743.1784781126.

The spelling of 410468064 in words is "four hundred ten million, four hundred sixty-eight thousand, sixty-four".