407845672 has 96 divisors (see below), whose sum is σ = 881210880. Its totient is φ = 176567040.

The previous prime is 407845667. The next prime is 407845673. The reversal of 407845672 is 276548704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407845673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550613 + ... + 1550875.

It is an arithmetic number, because the mean of its divisors is an integer number (9179280).

Almost surely, 2^407845672 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 407845672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440605440).

407845672 is an abundant number, since it is smaller than the sum of its proper divisors (473365208).

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

407845672 is a wasteful number, since it uses less digits than its factorization.

407845672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 407845672 is about 20195.1893281544. The cubic root of 407845672 is about 741.5924266106.

The spelling of 407845672 in words is "four hundred seven million, eight hundred forty-five thousand, six hundred seventy-two".