407700096 has 128 divisors (see below), whose sum is σ = 1157414400. Its totient is φ = 126873600.

The previous prime is 407700091. The next prime is 407700107. The reversal of 407700096 is 690007704.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (407700091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344626 + ... + 345806.

It is an arithmetic number, because the mean of its divisors is an integer number (9042300).

Almost surely, 2^407700096 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 407700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578707200).

407700096 is an abundant number, since it is smaller than the sum of its proper divisors (749714304).

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

407700096 is a wasteful number, since it uses less digits than its factorization.

407700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 407700096 is about 20191.5847817847. The cubic root of 407700096 is about 741.5041817067.

The spelling of 407700096 in words is "four hundred seven million, seven hundred thousand, ninety-six".