407055096 has 96 divisors (see below), whose sum is σ = 1263849600. Its totient is φ = 115940160.

The previous prime is 407055091. The next prime is 407055137. The reversal of 407055096 is 690550704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 407055096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407055091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189951 + ... + 192081.

It is an arithmetic number, because the mean of its divisors is an integer number (13165100).

Almost surely, 2^407055096 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 407055096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631924800).

407055096 is an abundant number, since it is smaller than the sum of its proper divisors (856794504).

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

407055096 is a wasteful number, since it uses less digits than its factorization.

407055096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 407055096 is about 20175.6064592864. The cubic root of 407055096 is about 741.1129442596.

The spelling of 407055096 in words is "four hundred seven million, fifty-five thousand, ninety-six".