407825955 has 32 divisors (see below), whose sum is σ = 726707520. Its totient is φ = 217002240.

The previous prime is 407825939. The next prime is 407825959. The reversal of 407825955 is 559528704.

It is not a de Polignac number, because 407825955 - 2⁴ = 407825939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 407825955.

It is not an unprimeable number, because it can be changed into a prime (407825959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58959 + ... + 65511.

It is an arithmetic number, because the mean of its divisors is an integer number (22709610).

Almost surely, 2^407825955 is an apocalyptic number.

407825955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

407825955 is a deficient number, since it is larger than the sum of its proper divisors (318881565).

407825955 is a wasteful number, since it uses less digits than its factorization.

407825955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 407825955 is about 20194.7011614433. The cubic root of 407825955 is about 741.5804758373.

The spelling of 407825955 in words is "four hundred seven million, eight hundred twenty-five thousand, nine hundred fifty-five".