407300872 has 128 divisors (see below), whose sum is σ = 920678400. Its totient is φ = 166924800.

The previous prime is 407300869. The next prime is 407300893. The reversal of 407300872 is 278003704.

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, 5579428 + ... + 5579500.

It is an arithmetic number, because the mean of its divisors is an integer number (7192800).

Almost surely, 2^407300872 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 407300872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460339200).

407300872 is an abundant number, since it is smaller than the sum of its proper divisors (513377528).

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

407300872 is a wasteful number, since it uses less digits than its factorization.

407300872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 407300872 is about 20181.6964599114. The cubic root of 407300872 is about 741.2620732345.

The spelling of 407300872 in words is "four hundred seven million, three hundred thousand, eight hundred seventy-two".