407673728 has 192 divisors, whose sum is σ = 1088380800. Its totient is φ = 149990400.

The previous prime is 407673727. The next prime is 407673731. The reversal of 407673728 is 827376704.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407673727) 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 23 ways as a sum of consecutive naturals, for example, 1310693 + ... + 1311003.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2^407673728 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 407673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

407673728 is an abundant number, since it is smaller than the sum of its proper divisors (680707072).

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

407673728 is a wasteful number, since it uses less digits than its factorization.

407673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The square root of 407673728 is about 20190.9318259460. The cubic root of 407673728 is about 741.4881957700.

The spelling of 407673728 in words is "four hundred seven million, six hundred seventy-three thousand, seven hundred twenty-eight".