410268672 has 352 divisors, whose sum is σ = 1414886400. Its totient is φ = 116121600.

The previous prime is 410268659. The next prime is 410268689. The reversal of 410268672 is 276862014.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 5778397 + ... + 5778467.

Almost surely, 2^410268672 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 410268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707443200).

410268672 is an abundant number, since it is smaller than the sum of its proper divisors (1004617728).

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

410268672 is a wasteful number, since it uses less digits than its factorization.

410268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 410268672 is about 20255.0900269537. The cubic root of 410268672 is about 743.0581213323.

The spelling of 410268672 in words is "four hundred ten million, two hundred sixty-eight thousand, six hundred seventy-two".