407625853 has 8 divisors (see below), whose sum is σ = 417482208. Its totient is φ = 397786704.

The previous prime is 407625821. The next prime is 407625857. The reversal of 407625853 is 358526704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407625853 - 2⁵ = 407625821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407625857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52575 + ... + 59827.

It is an arithmetic number, because the mean of its divisors is an integer number (52185276).

Almost surely, 2^407625853 is an apocalyptic number.

407625853 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

407625853 is a deficient number, since it is larger than the sum of its proper divisors (9856355).

407625853 is a wasteful number, since it uses less digits than its factorization.

407625853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603.

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 407625853 is about 20189.7462341655. The cubic root of 407625853 is about 741.4591691778.

It can be divided in two parts, 4076 and 25853, that added together give a square (29929 = 173²).

The spelling of 407625853 in words is "four hundred seven million, six hundred twenty-five thousand, eight hundred fifty-three".