407719872 has 224 divisors, whose sum is σ = 1408419840. Its totient is φ = 113218560.

The previous prime is 407719859. The next prime is 407719889. The reversal of 407719872 is 278917704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×407719872³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447097 + ... + 448007.

Almost surely, 2^407719872 is an apocalyptic number.

407719872 is a gapful number since it is divisible by the number (42) 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 407719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704209920).

407719872 is an abundant number, since it is smaller than the sum of its proper divisors (1000699968).

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

407719872 is a wasteful number, since it uses less digits than its factorization.

407719872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 407719872 is about 20192.0744848072. The cubic root of 407719872 is about 741.5161707069.

The spelling of 407719872 in words is "four hundred seven million, seven hundred nineteen thousand, eight hundred seventy-two".